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1434807187660 = 2257211413246317
BaseRepresentation
bin10100111000010001001…
…011000011100011001100
312002011111011212010121101
4110320101023003203030
5142001441120001120
63015050305312444
7205442600603200
oct24702113034314
95064434763541
101434807187660
11503553285590
121b20aa035724
13a53bcbbbcc2
144d633284b00
15274c8d0590a
hex14e112c38cc

1434807187660 has 144 divisors (see below), whose sum is σ = 3916929387168. Its totient is φ = 436304870400.

The previous prime is 1434807187609. The next prime is 1434807187661. The reversal of 1434807187660 is 667817084341.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (1434807187661) 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 47 ways as a sum of consecutive naturals, for example, 1181179 + ... + 2065138.

It is an arithmetic number, because the mean of its divisors is an integer number (27200898522).

Almost surely, 21434807187660 is an apocalyptic number.

1434807187660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434807187660 is an abundant number, since it is smaller than the sum of its proper divisors (2482122199508).

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

1434807187660 is a wasteful number, since it uses less digits than its factorization.

1434807187660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246392 (or 3246383 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 1434807187660 in words is "one trillion, four hundred thirty-four billion, eight hundred seven million, one hundred eighty-seven thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 49 55 70 77 82 98 110 140 154 164 196 205 220 245 287 308 385 410 451 490 539 574 770 820 902 980 1078 1148 1435 1540 1804 2009 2156 2255 2695 2870 3157 4018 4510 5390 5740 6314 8036 9020 10045 10780 12628 15785 20090 22099 31570 40180 44198 63140 88396 110495 220990 441980 3246317 6492634 12985268 16231585 22724219 32463170 35709487 45448438 64926340 71418974 90896876 113621095 133098997 142837948 159069533 178547435 227242190 249966409 266197994 318139066 357094870 454484380 499932818 532395988 636278132 665494985 714189740 795347665 931692979 999865636 1249832045 1330989970 1464088967 1590695330 1749764863 1863385958 2499664090 2661979940 2928177934 3181390660 3499529726 3726771916 4658464895 4999328180 5856355868 6521850853 6999059452 7320444835 8748824315 9316929790 10248622769 13043701706 14640889670 17497648630 18633859580 20497245538 26087403412 29281779340 32609254265 34995297260 40994491076 51243113845 65218508530 71740359383 102486227690 130437017060 143480718766 204972455380 286961437532 358701796915 717403593830 1434807187660