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40232949504 = 283115418803
BaseRepresentation
bin100101011110000100…
…100001011100000000
310211211220101121010220
4211132010201130000
51124344113341004
630252135423040
72623003266606
oct453604413400
9124756347126
1040232949504
11160764a64a0
127969b24a80
133a424051c7
141d394c9876
1510a719ddd9
hex95e121700

40232949504 has 144 divisors (see below), whose sum is σ = 117041925504. Its totient is φ = 12167884800.

The previous prime is 40232949503. The next prime is 40232949529. The reversal of 40232949504 is 40594923204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40232949503) by changing a digit.

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, 4565967 + ... + 4574769.

Almost surely, 240232949504 is an apocalyptic number.

40232949504 is a gapful number since it is divisible by the number (44) 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 40232949504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58520962752).

40232949504 is an abundant number, since it is smaller than the sum of its proper divisors (76808976000).

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

40232949504 is a wasteful number, since it uses less digits than its factorization.

40232949504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 40232949504 in words is "forty billion, two hundred thirty-two million, nine hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 541 704 768 1056 1082 1408 1623 2112 2164 2816 3246 4224 4328 5951 6492 8448 8656 8803 11902 12984 17312 17606 17853 23804 25968 26409 34624 35212 35706 47608 51936 52818 69248 70424 71412 95216 96833 103872 105636 138496 140848 142824 190432 193666 207744 211272 281696 285648 290499 380864 387332 415488 422544 563392 571296 580998 761728 774664 845088 1126784 1142592 1161996 1523456 1549328 1690176 2253568 2285184 2323992 3098656 3380352 4570368 4647984 4762423 6197312 6760704 9295968 9524846 12394624 14287269 18591936 19049692 24789248 28574538 37183872 38099384 52386653 57149076 74367744 76198768 104773306 114298152 152397536 157159959 209546612 228596304 304795072 314319918 419093224 457192608 609590144 628639836 838186448 914385216 1219180288 1257279672 1676372896 1828770432 2514559344 3352745792 3657540864 5029118688 6705491584 10058237376 13410983168 20116474752 40232949504