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31200034020144 = 243111710732485417
BaseRepresentation
bin1110001100000010100101…
…11100011101101100110000
311002110200202000102021022220
413012001102330131230300
513042140132202121034
6150205033041001040
76400061633303313
oct706012274355460
9132420660367286
1031200034020144
119a39950903a70
1235ba938323180
1314541c5aa8a02
1479c13820c97a
153918b7984749
hex1c6052f1db30

31200034020144 has 160 divisors (see below), whose sum is σ = 93969659056896. Its totient is φ = 8815242485760.

The previous prime is 31200034020143. The next prime is 31200034020203. The reversal of 31200034020144 is 44102043000213.

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

It is not an unprimeable number, because it can be changed into a prime (31200034020143) 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, 15282277 + ... + 17203140.

Almost surely, 231200034020144 is an apocalyptic number.

31200034020144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31200034020144 is an abundant number, since it is smaller than the sum of its proper divisors (62769625036752).

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

31200034020144 is a wasteful number, since it uses less digits than its factorization.

31200034020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32485563 (or 32485557 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31200034020144 its reverse (44102043000213), we get a palindrome (75302077020357).

The spelling of 31200034020144 in words is "thirty-one trillion, two hundred billion, thirty-four million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 107 132 136 176 187 204 214 264 272 321 374 408 428 528 561 642 748 816 856 1122 1177 1284 1496 1712 1819 2244 2354 2568 2992 3531 3638 4488 4708 5136 5457 7062 7276 8976 9416 10914 14124 14552 18832 20009 21828 28248 29104 40018 43656 56496 60027 80036 87312 120054 160072 240108 320144 480216 960432 32485417 64970834 97456251 129941668 194912502 259883336 357339587 389825004 519766672 552252089 714679174 779650008 1072018761 1104504178 1429358348 1559300016 1656756267 2144037522 2209008356 2858716696 3313512534 3475939619 4288075044 4418016712 5717433392 6074772979 6627025068 6951879238 8576150088 8836033424 10427818857 12149545958 13254050136 13903758476 17152300176 18224318937 20855637714 24299091916 26508100272 27807516952 36448637874 38235335809 41711275428 48598183832 55615033904 59090973523 72897275748 76470671618 83422550856 97196367664 114706007427 118181947046 145794551496 152941343236 166845101712 177272920569 229412014854 236363894092 291589102992 305882686472 354545841138 458824029708 472727788184 611765372944 650000708753 709091682276 917648059416 945455576368 1300001417506 1418183364552 1835296118832 1950002126259 2600002835012 2836366729104 3900004252518 5200005670024 7800008505036 10400011340048 15600017010072 31200034020144