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1344503151112 = 2311233134095189
BaseRepresentation
bin10011100100001010101…
…000011111101000001000
311202112101201212202202011
4103210022220133220020
5134012020301313422
62505353424345304
7166065020135542
oct23441250375010
94675351782664
101344503151112
11479222a83320
121986a7475234
1399a2b0b7854
1449107c42692
1524e90e1e077
hex1390aa1fa08

1344503151112 has 128 divisors (see below), whose sum is σ = 2886453792000. Its totient is φ = 581162250240.

The previous prime is 1344503151097. The next prime is 1344503151119. The reversal of 1344503151112 is 2111513054431.

It is a happy number.

It is a super-3 number, since 3×13445031511123 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1344503151119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259103814 + ... + 259109002.

It is an arithmetic number, because the mean of its divisors is an integer number (22550420250).

Almost surely, 21344503151112 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 1344503151112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443226896000).

1344503151112 is an abundant number, since it is smaller than the sum of its proper divisors (1541950640888).

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

1344503151112 is a wasteful number, since it uses less digits than its factorization.

1344503151112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 1344503151112 in words is "one trillion, three hundred forty-four billion, five hundred three million, one hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 313 409 506 626 818 1012 1252 1636 2024 2504 3272 3443 4499 5189 6886 7199 8998 9407 10378 13772 14398 17996 18814 20756 27544 28796 35992 37628 41512 57079 57592 75256 79189 103477 114158 119347 128017 158378 206954 228316 238694 256034 316756 413908 456632 477388 512068 633512 827816 954776 1024136 1312817 1408187 1624157 2122301 2625634 2816374 2944391 3248314 4244602 5251268 5632748 5888782 6496628 8489204 10502536 11265496 11777564 12993256 16978408 17865727 23345311 23555128 32388301 35731454 37355611 46690622 48812923 64776602 71462908 74711222 93381244 97625846 129553204 142925816 149422444 186762488 195251692 259106408 298844888 390503384 410911721 536942153 664280213 821823442 1073884306 1328560426 1643646884 2147768612 2657120852 3287293768 4295537224 5314241704 7307082343 14614164686 15278444899 29228329372 30556889798 58456658744 61113779596 122227559192 168062893889 336125787778 672251575556 1344503151112