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31004453040 = 24351153221587
BaseRepresentation
bin11100111000000000…
…100110100010110000
32222000202100101220120
4130320000212202300
51001444114444130
622124313010240
72145214334241
oct347000464260
988022311816
1031004453040
1112170229510
1260133b3980
132c01501102
1417019d4cc8
15c16dd9910
hex7380268b0

31004453040 has 160 divisors (see below), whose sum is σ = 106830233856. Its totient is φ = 7374382080.

The previous prime is 31004453009. The next prime is 31004453107. The reversal of 31004453040 is 4035440013.

It is a super-2 number, since 2×310044530402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31004453040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29127 + ... + 250713.

Almost surely, 231004453040 is an apocalyptic number.

31004453040 is a gapful number since it is divisible by the number (30) 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 31004453040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53415116928).

31004453040 is an abundant number, since it is smaller than the sum of its proper divisors (75825780816).

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

31004453040 is a wasteful number, since it uses less digits than its factorization.

31004453040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221667 (or 221661 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 31004453040 its reverse (4035440013), we get a palindrome (35039893053).

The spelling of 31004453040 in words is "thirty-one billion, four million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 159 165 176 212 220 240 264 265 318 330 424 440 528 530 583 636 660 795 848 880 1060 1166 1272 1320 1590 1749 2120 2332 2544 2640 2915 3180 3498 4240 4664 5830 6360 6996 8745 9328 11660 12720 13992 17490 23320 27984 34980 46640 69960 139920 221587 443174 664761 886348 1107935 1329522 1772696 2215870 2437457 2659044 3323805 3545392 4431740 4874914 5318088 6647610 7312371 8863480 9749828 10636176 11744111 12187285 13295220 14624742 17726960 19499656 23488222 24374570 26590440 29249484 35232333 36561855 38999312 46976444 48749140 53180880 58498968 58720555 70464666 73123710 93952888 97498280 116997936 117441110 129185221 140929332 146247420 176161665 187905776 194996560 234882220 258370442 281858664 292494840 352323330 387555663 469764440 516740884 563717328 584989680 645926105 704646660 775111326 939528880 1033481768 1291852210 1409293320 1550222652 1937778315 2066963536 2583704420 2818586640 3100445304 3875556630 5167408840 6200890608 7751113260 10334817680 15502226520 31004453040