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31040232345152 = 2629191277731531
BaseRepresentation
bin1110000111011000111100…
…00001011100111001000000
311001220102021011101002002122
413003230132001130321000
513032030343440021102
6150003404052303412
76352403615420162
oct703543601347100
9131812234332078
1031040232345152
1199880a7a3a378
12359397b011b68
13144210995ab84
147944d8ba2932
1538c6636200a2
hex1c3b1e05ce40

31040232345152 has 112 divisors (see below), whose sum is σ = 64078149841920. Its totient is φ = 14900644147200.

The previous prime is 31040232345103. The next prime is 31040232345179. The reversal of 31040232345152 is 25154323204013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 984419627 + ... + 984451157.

Almost surely, 231040232345152 is an apocalyptic number.

31040232345152 is a gapful number since it is divisible by the number (32) 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 31040232345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32039074920960).

31040232345152 is an abundant number, since it is smaller than the sum of its proper divisors (33037917496768).

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

31040232345152 is a wasteful number, since it uses less digits than its factorization.

31040232345152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34540 (or 34530 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 31040232345152 its reverse (25154323204013), we get a palindrome (56194555549165).

The spelling of 31040232345152 in words is "thirty-one trillion, forty billion, two hundred thirty-two million, three hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 191 232 382 464 764 928 1528 1856 2777 3056 5539 5554 6112 11078 11108 12224 22156 22216 31531 44312 44432 63062 80533 88624 88864 126124 161066 177248 177728 252248 322132 354496 504496 530407 644264 914399 1008992 1060814 1288528 1828798 2017984 2121628 2577056 3657596 4243256 5154112 6022421 7315192 8486512 12044842 14630384 15381803 16973024 24089684 29260768 30763606 33946048 48179368 58521536 61527212 87561587 96358736 123054424 174650209 175123174 192717472 246108848 349300418 350246348 385434944 492217696 698600836 700492696 984435392 1397201672 1400985392 2539286023 2794403344 2801970784 5078572046 5588806688 5603941568 10157144092 11177613376 16724263117 20314288184 33448526234 40628576368 66897052468 81257152736 133794104936 162514305472 267588209872 485003630393 535176419744 970007260786 1070352839488 1940014521572 3880029043144 7760058086288 15520116172576 31040232345152