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4313254153312 = 251331372244313
BaseRepresentation
bin111110110001000001111…
…110110100110001100000
3120021100021002122110221101
4332301001332310301200
51031132021030401222
613101252005404144
7623423313244036
oct76610176646140
916240232573841
104313254153312
111413271583485
12597b30109654
13253979863cc0
1410ca96888556
15772e7070927
hex3ec41fb4c60

4313254153312 has 144 divisors (see below), whose sum is σ = 9701994298752. Its totient is φ = 1874439843840.

The previous prime is 4313254153189. The next prime is 4313254153339. The reversal of 4313254153312 is 2133514523134.

It is a happy number.

4313254153312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×43132541533122 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17532468 + ... + 17776780.

It is an arithmetic number, because the mean of its divisors is an integer number (67374960408).

Almost surely, 24313254153312 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 4313254153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850997149376).

4313254153312 is an abundant number, since it is smaller than the sum of its proper divisors (5388740145440).

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

4313254153312 is a wasteful number, since it uses less digits than its factorization.

4313254153312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244441 (or 244396 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

Adding to 4313254153312 its reverse (2133514523134), we get a palindrome (6446768676446).

The spelling of 4313254153312 in words is "four trillion, three hundred thirteen billion, two hundred fifty-four million, one hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 37 52 62 74 104 124 148 208 248 296 403 416 481 496 592 806 962 992 1147 1184 1369 1612 1924 2294 2738 3224 3848 4588 5476 6448 7696 9176 10952 12896 14911 15392 17797 18352 21904 29822 35594 36704 42439 43808 59644 71188 84878 119288 142376 169756 238576 244313 284752 339512 477152 488626 551707 569504 679024 977252 1103414 1358048 1954504 2206828 3176069 3909008 4413656 6352138 7573703 7818016 8827312 9039581 12704276 15147406 17654624 18079162 25408552 30294812 36158324 50817104 60589624 72316648 98458139 101634208 117514553 121179248 144633296 196916278 235029106 242358496 280227011 289266592 334464497 393832556 470058212 560454022 668928994 787665112 940116424 1120908044 1337857988 1575330224 1880232848 2241816088 2675715976 3150660448 3642951143 3760465696 4348038461 4483632176 5351431952 7285902286 8696076922 8967264352 10368399407 10702863904 14571804572 17392153844 20736798814 29143609144 34784307688 41473597628 58287218288 69568615376 82947195256 116574436576 134789192291 139137230752 165894390512 269578384582 331788781024 539156769164 1078313538328 2156627076656 4313254153312