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40120253096 = 237111716012393
BaseRepresentation
bin100101010111010110…
…100111101010101000
310211120001100000201212
4211113112213222220
51124131241044341
630233032132252
72620134344630
oct452726475250
9124501300655
1040120253096
1116018922a70
127938237088
133a24c67741
141d285516c0
15109c33c5eb
hex9575a7aa8

40120253096 has 128 divisors (see below), whose sum is σ = 99408072960. Its totient is φ = 14696448000.

The previous prime is 40120253093. The next prime is 40120253099. The reversal of 40120253096 is 69035202104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40120253093) and next prime (40120253099).

It is not an unprimeable number, because it can be changed into a prime (40120253093) 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, 16764476 + ... + 16766868.

It is an arithmetic number, because the mean of its divisors is an integer number (776625570).

Almost surely, 240120253096 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 40120253096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49704036480).

40120253096 is an abundant number, since it is smaller than the sum of its proper divisors (59287819864).

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

40120253096 is a wasteful number, since it uses less digits than its factorization.

40120253096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 40120253096 in words is "forty billion, one hundred twenty million, two hundred fifty-three thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 1601 2393 2618 3202 4786 5236 6404 9572 10472 11207 12808 16751 17611 19144 22414 26323 27217 33502 35222 40681 44828 52646 54434 67004 70444 81362 89656 105292 108868 123277 134008 140888 162724 184261 190519 210584 217736 246554 284767 299387 325448 368522 381038 447491 493108 569534 598774 737044 762076 894982 986216 1139068 1197548 1474088 1524152 1789964 2095709 2278136 2395096 3132437 3579928 3831193 4191418 6264874 7662386 8382836 12529748 15324772 16765672 25059496 26818351 30649544 42143123 53636702 65130281 84286246 107273404 130260562 168572492 214546808 260521124 295001861 337144984 455911967 521042248 590003722 716433091 911823934 1180007444 1432866182 1823647868 2360014888 2865732364 3647295736 5015031637 5731464728 10030063274 20060126548 40120253096