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40114032140 = 22571323479391
BaseRepresentation
bin100101010110111110…
…111000111000001100
310211112121121222012002
4211112332320320030
51124123143012030
630232250531432
72620030435010
oct452676707014
9124477558162
1040114032140
1116015364086
127936136b78
133a23899cc0
141d277b2540
15109ba0e245
hex956fb8e0c

40114032140 has 96 divisors (see below), whose sum is σ = 103734564864. Its totient is φ = 12688669440.

The previous prime is 40114032139. The next prime is 40114032151. The reversal of 40114032140 is 4123041104.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 4266845 + ... + 4276235.

It is an arithmetic number, because the mean of its divisors is an integer number (1080568384).

Almost surely, 240114032140 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 40114032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51867282432).

40114032140 is an abundant number, since it is smaller than the sum of its proper divisors (63620532724).

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

40114032140 is a wasteful number, since it uses less digits than its factorization.

40114032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11767 (or 11765 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40114032140 its reverse (4123041104), we get a palindrome (44237073244).

The spelling of 40114032140 in words is "forty billion, one hundred fourteen million, thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 2347 4694 9388 9391 11735 16429 18782 23470 30511 32858 37564 46940 46955 61022 65716 65737 82145 93910 122044 122083 131474 152555 164290 187820 213577 244166 262948 305110 328580 328685 427154 488332 610220 610415 657370 854308 854581 1067885 1220830 1314740 1709162 2135770 2441660 3418324 4271540 4272905 8545810 17091620 22040677 44081354 88162708 110203385 154284739 220406770 286528801 308569478 440813540 573057602 617138956 771423695 1146115204 1432644005 1542847390 2005701607 2865288010 3085694780 4011403214 5730576020 8022806428 10028508035 20057016070 40114032140