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31305760740 = 22335411413991
BaseRepresentation
bin11101001001111101…
…111111111111100100
32222210202022102101000
4131021331333333210
51003103233320430
622214235033300
72155533401322
oct351175777744
988722272330
1031305760740
1112305316441
12609829b830
132c4ba691a7
14172da28d12
15c335a5e60
hex749f7ffe4

31305760740 has 96 divisors (see below), whose sum is σ = 99771275520. Its totient is φ = 8144582400.

The previous prime is 31305760693. The next prime is 31305760747. The reversal of 31305760740 is 4706750313.

31305760740 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 5 + 7 + 607 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31305760695 and 31305760704.

It is not an unprimeable number, because it can be changed into a prime (31305760747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684856 + ... + 729135.

It is an arithmetic number, because the mean of its divisors is an integer number (1039284120).

Almost surely, 231305760740 is an apocalyptic number.

31305760740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31305760740 is an abundant number, since it is smaller than the sum of its proper divisors (68465514780).

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

31305760740 is a wasteful number, since it uses less digits than its factorization.

31305760740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414050 (or 1414042 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 31305760740 in words is "thirty-one billion, three hundred five million, seven hundred sixty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 22140 1413991 2827982 4241973 5655964 7069955 8483946 12725919 14139910 16967892 21209865 25451838 28279820 38177757 42419730 50903676 57973631 63629595 76355514 84839460 115947262 127259190 152711028 173920893 190888785 231894524 254518380 289868155 347841786 381777570 521762679 579736310 695683572 763555140 869604465 1043525358 1159472620 1565288037 1739208930 2087050716 2608813395 3130576074 3478417860 5217626790 6261152148 7826440185 10435253580 15652880370 31305760740