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210144124113444 = 223261712106763977
BaseRepresentation
bin101111110001111111111101…
…110111101001001000100100
31000120001120201022210212020100
4233301333331313221020210
5210021000131233112234
62022534513342304100
762156261203510563
oct5761777567511044
91016046638725210
10210144124113444
1160a5a693685a24
121b69b409b88030
1390346765350b1
1439c705bda1bda
1519464e6ce3399
hexbf1ffdde9224

210144124113444 has 144 divisors (see below), whose sum is σ = 547544659648896. Its totient is φ = 67925008166400.

The previous prime is 210144124113421. The next prime is 210144124113487. The reversal of 210144124113444 is 444311421441012.

210144124113444 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 441 + 2 + 41 + 134 + 44 = 666.

It is a super-2 number, since 2×2101441241134442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 210144124113399 and 210144124113408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3284650384 + ... + 3284714360.

It is an arithmetic number, because the mean of its divisors is an integer number (3802393469784).

Almost surely, 2210144124113444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210144124113444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273772329824448).

210144124113444 is an abundant number, since it is smaller than the sum of its proper divisors (337400535535452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

210144124113444 is a wasteful number, since it uses less digits than its factorization.

210144124113444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85186 (or 85181 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 210144124113444 its reverse (444311421441012), we get a palindrome (654455545554456).

The spelling of 210144124113444 in words is "two hundred ten trillion, one hundred forty-four billion, one hundred twenty-four million, one hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 71 122 142 183 213 244 284 366 426 549 639 732 852 1098 1278 2196 2556 4331 8662 12993 17324 21067 25986 38979 42134 51972 63201 63977 77958 84268 126402 127954 155916 189603 191931 252804 255908 379206 383862 575793 758412 767724 1151586 1285087 1495757 2303172 2570174 2991514 3855261 3902597 4487271 4542367 5140348 5983028 7710522 7805194 8974542 9084734 11565783 11707791 13461813 13627101 15421044 15610388 17949084 18169468 23131566 23415582 26923626 27254202 35123373 40881303 46263132 46831164 53847252 54508404 70246746 81762606 91241177 140493492 163525212 182482354 273723531 277084387 364964708 547447062 554168774 821170593 831253161 1094894124 1108337548 1347803459 1642341186 1662506322 2493759483 2695606918 3284682372 3325012644 4043410377 4987518966 5391213836 8086820754 9975037932 12130231131 16173641508 24260462262 48520924524 82216010999 95694045589 164432021998 191388091178 246648032997 287082136767 328864043996 382776182356 493296065994 574164273534 739944098991 861246410301 986592131988 1148328547068 1479888197982 1722492820602 2959776395964 3444985641204 5837336780929 11674673561858 17512010342787 23349347123716 35024020685574 52536031028361 70048041371148 105072062056722 210144124113444