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1204243131432 = 2331127173922777
BaseRepresentation
bin10001100001100010011…
…110111110110000101000
311021010100202220112001110
4101201202132332300220
5124212242220201212
62321115513350320
7153001160503425
oct21414236766050
94233322815043
101204243131432
11424797942590
121754827083a0
13897376b5673
14423ddc8ad4c
15214d2489a3c
hex118627bec28

1204243131432 has 128 divisors (see below), whose sum is σ = 3301024204800. Its totient is φ = 363067660800.

The previous prime is 1204243131431. The next prime is 1204243131439. The reversal of 1204243131432 is 2341313424021.

It is a super-2 number, since 2×12042431314322 (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 1204243131432.

It is not an unprimeable number, because it can be changed into a prime (1204243131431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52859628 + ... + 52882404.

It is an arithmetic number, because the mean of its divisors is an integer number (25789251600).

Almost surely, 21204243131432 is an apocalyptic number.

1204243131432 is a gapful number since it is divisible by the number (12) 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 1204243131432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650512102400).

1204243131432 is an abundant number, since it is smaller than the sum of its proper divisors (2096781073368).

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

1204243131432 is a wasteful number, since it uses less digits than its factorization.

1204243131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23807 (or 23803 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1204243131432 its reverse (2341313424021), we get a palindrome (3545556555453).

The spelling of 1204243131432 in words is "one trillion, two hundred four billion, two hundred forty-three million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 271 542 739 813 1084 1478 1626 2168 2217 2956 2981 3252 4434 5912 5962 6504 8129 8868 8943 11924 16258 17736 17886 22777 23848 24387 32516 35772 45554 48774 65032 68331 71544 91108 97548 136662 182216 195096 200269 250547 273324 400538 501094 546648 600807 751641 801076 1002188 1201614 1503282 1602152 2004376 2202959 2403228 3006564 4405918 4806456 6013128 6172567 6608877 8811836 12345134 13217754 16832203 17623672 18517701 24690268 26435508 33664406 37035402 49380536 50496609 52871016 67328812 67898237 74070804 100993218 134657624 135796474 148141608 185154233 201986436 203694711 271592948 370308466 403972872 407389422 543185896 555462699 740616932 814778844 1110925398 1481233864 1629557688 2221850796 4443701592 4561527013 9123054026 13684581039 18246108052 27369162078 36492216104 50176797143 54738324156 100353594286 109476648312 150530391429 200707188572 301060782858 401414377144 602121565716 1204243131432