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2102363928144 = 2436349151631
BaseRepresentation
bin11110100101111110101…
…001111011011001010000
321102222120100122012000000
4132211332221323121100
5233421120131200034
64245451311130000
7304614352352244
oct36457651733120
97388510565000
102102363928144
117406756a1107
1229b551513900
13123337a3cb5c
1473a7d860424
1539a49a15599
hex1e97ea7b650

2102363928144 has 140 divisors (see below), whose sum is σ = 6109069119552. Its totient is φ = 700573665600.

The previous prime is 2102363928109. The next prime is 2102363928179. The reversal of 2102363928144 is 4418293632012.

2102363928144 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 3 + 639 + 2 + 8 + 1 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2102363928109) and next prime (2102363928179).

It is a super-2 number, since 2×21023639281442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2102363928144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40693209 + ... + 40744839.

Almost surely, 22102363928144 is an apocalyptic number.

2102363928144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102363928144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054534559776).

2102363928144 is an abundant number, since it is smaller than the sum of its proper divisors (4006705191408).

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

2102363928144 is an equidigital number, since it uses as much as digits as its factorization.

2102363928144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55148 (or 55127 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2102363928144 in words is "two trillion, one hundred two billion, three hundred sixty-three million, nine hundred twenty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3491 3888 5832 6982 10473 11664 13964 20946 27928 31419 41892 51631 55856 62838 83784 94257 103262 125676 154893 167568 188514 206524 251352 282771 309786 377028 413048 464679 502704 565542 619572 754056 826096 848313 929358 1131084 1239144 1394037 1508112 1696626 1858716 2262168 2478288 2544939 2788074 3393252 3717432 4182111 4524336 5089878 5576148 6786504 7434864 8364222 10179756 11152296 12546333 13573008 16728444 20359512 22304592 25092666 33456888 37638999 40719024 50185332 66913776 75277998 100370664 150555996 180243821 200741328 301111992 360487642 540731463 602223984 720975284 1081462926 1441950568 1622194389 2162925852 2883901136 3244388778 4325851704 4866583167 6488777556 8651703408 9733166334 12977555112 14599749501 19466332668 25955110224 29199499002 38932665336 43799248503 58398998004 77865330672 87598497006 116797996008 131397745509 175196994012 233595992016 262795491018 350393988024 525590982036 700787976048 1051181964072 2102363928144