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43000253152 = 2517234337937
BaseRepresentation
bin101000000011000000…
…111100101011100000
311002222202120012002121
4220003000330223200
51201031031100102
631430512354024
73051405056353
oct500300745340
9132882505077
1043000253152
11172665816aa
128400845914
13409382509c
14211cc3c29a
1511ba0cab37
hexa0303cae0

43000253152 has 96 divisors (see below), whose sum is σ = 93761623872. Its totient is φ = 19308478464.

The previous prime is 43000253119. The next prime is 43000253189. The reversal of 43000253152 is 25135200034.

It is a super-3 number, since 3×430002531523 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5413728 + ... + 5421664.

It is an arithmetic number, because the mean of its divisors is an integer number (976683582).

Almost surely, 243000253152 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 43000253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46880811936).

43000253152 is an abundant number, since it is smaller than the sum of its proper divisors (50761370720).

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

43000253152 is a wasteful number, since it uses less digits than its factorization.

43000253152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8412 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 43000253152 its reverse (25135200034), we get a palindrome (68135453186).

The spelling of 43000253152 in words is "forty-three billion, two hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 433 544 736 782 866 1564 1732 3128 3464 6256 6928 7361 7937 9959 12512 13856 14722 15874 19918 29444 31748 39836 58888 63496 79672 117776 126992 134929 159344 169303 182551 235552 253984 269858 318688 338606 365102 539716 677212 730204 1079432 1354424 1460408 2158864 2708848 2920816 3103367 3436721 4317728 5417696 5841632 6206734 6873442 12413468 13746884 24826936 27493768 49653872 54987536 58424257 79044583 99307744 109975072 116848514 158089166 233697028 316178332 467394056 632356664 934788112 1264713328 1343757911 1869576224 2529426656 2687515822 5375031644 10750063288 21500126576 43000253152