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31455513540 = 22335115295541
BaseRepresentation
bin11101010010111001…
…010000101111000100
310000012012002122121000
4131102321100233010
51003410102413130
622241144453300
72162332311363
oct352271205704
9100165078530
1031455513540
11123818a9990
12611a47a230
132c73aac709
14174588b7da
15c417d7260
hex752e50bc4

31455513540 has 96 divisors (see below), whose sum is σ = 106758126720. Its totient is φ = 7625577600.

The previous prime is 31455513533. The next prime is 31455513541. The reversal of 31455513540 is 4531555413.

31455513540 is a `hidden beast` number, since 3 + 14 + 55 + 51 + 3 + 540 = 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 = 31455513495 and 31455513504.

It is not an unprimeable number, because it can be changed into a prime (31455513541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2641831 + ... + 2653710.

It is an arithmetic number, because the mean of its divisors is an integer number (1112063820).

Almost surely, 231455513540 is an apocalyptic number.

31455513540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31455513540 is an abundant number, since it is smaller than the sum of its proper divisors (75302613180).

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

31455513540 is a wasteful number, since it uses less digits than its factorization.

31455513540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295570 (or 5295562 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 31455513540 in words is "thirty-one billion, four hundred fifty-five million, five hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 5295541 10591082 15886623 21182164 26477705 31773246 47659869 52955410 58250951 63546492 79433115 95319738 105910820 116501902 142979607 158866230 174752853 190639476 233003804 238299345 285959214 291254755 317732460 349505706 476598690 524258559 571918428 582509510 699011412 714898035 873764265 953197380 1048517118 1165019020 1429796070 1572775677 1747528530 2097034236 2621292795 2859592140 3145551354 3495057060 5242585590 6291102708 7863878385 10485171180 15727756770 31455513540