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31023401948 = 2273115934841
BaseRepresentation
bin11100111001001000…
…111000101111011100
32222002002000002220222
4130321020320233130
51002013442330243
622130231100512
72145534365000
oct347110705734
988062002828
1031023401948
111217a9a1070
126019811738
132c05406c96
141704328700
15c188ce168
hex739238bdc

31023401948 has 96 divisors (see below), whose sum is σ = 70241472000. Its totient is φ = 11881833600.

The previous prime is 31023401923. The next prime is 31023401953. The reversal of 31023401948 is 84910432013.

It is a congruent number.

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, 873008 + ... + 907848.

It is an arithmetic number, because the mean of its divisors is an integer number (731682000).

Almost surely, 231023401948 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 31023401948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35120736000).

31023401948 is an abundant number, since it is smaller than the sum of its proper divisors (39218070052).

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

31023401948 is a wasteful number, since it uses less digits than its factorization.

31023401948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34936 (or 34920 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 31023401948 in words is "thirty-one billion, twenty-three million, four hundred one thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 59 77 98 118 154 196 236 308 343 413 539 649 686 826 1078 1298 1372 1652 2156 2596 2891 3773 4543 5782 7546 9086 11564 15092 18172 20237 31801 34841 40474 63602 69682 80948 127204 139364 222607 243887 383251 445214 487774 766502 890428 975548 1533004 1707209 2055619 2682757 3414418 4111238 5365514 6828836 8222476 10731028 11950463 14389333 18779299 22611809 23900926 28778666 37558598 45223618 47801852 57557332 75117196 90447236 100725331 131455093 158282663 201450662 262910186 316565326 402901324 525820372 633130652 705077317 1107978641 1410154634 2215957282 2820309268 4431914564 7755850487 15511700974 31023401948