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42989014404120 = 23351940946099831
BaseRepresentation
bin10011100011001001010001…
…11011101100110000011000
312122012201011022212012021010
421301210220323230300120
521113313000141412440
6231232514112213520
712024565565216361
oct1161445073546030
9178181138765233
1042989014404120
11127745a1a00a94
1249a3685b3a2a0
131acab01174375
14a889723b0b68
154e8399cb9580
hex271928eecc18

42989014404120 has 128 divisors (see below), whose sum is σ = 136086704064000. Its totient is φ = 10833828848640.

The previous prime is 42989014404053. The next prime is 42989014404187. The reversal of 42989014404120 is 2140441098924.

It is an interprime number because it is at equal distance from previous prime (42989014404053) and next prime (42989014404187).

It is a self number, because there is not a number n which added to its sum of digits gives 42989014404120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22117396 + ... + 23982435.

It is an arithmetic number, because the mean of its divisors is an integer number (1063177375500).

Almost surely, 242989014404120 is an apocalyptic number.

42989014404120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42989014404120 is an abundant number, since it is smaller than the sum of its proper divisors (93097689659880).

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

42989014404120 is a wasteful number, since it uses less digits than its factorization.

42989014404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46100273 (or 46100269 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 42989014404120 in words is "forty-two trillion, nine hundred eighty-nine billion, fourteen million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 409 456 570 760 818 1140 1227 1636 2045 2280 2454 3272 4090 4908 6135 7771 8180 9816 12270 15542 16360 23313 24540 31084 38855 46626 49080 62168 77710 93252 116565 155420 186504 233130 310840 466260 932520 46099831 92199662 138299493 184399324 230499155 276598986 368798648 460998310 553197972 691497465 875896789 921996620 1106395944 1382994930 1751793578 1843993240 2627690367 2765989860 3503587156 4379483945 5255380734 5531979720 7007174312 8758967890 10510761468 13138451835 17517935780 18854830879 21021522936 26276903670 35035871560 37709661758 52553807340 56564492637 75419323516 94274154395 105107614680 113128985274 150838647032 188548308790 226257970548 282822463185 358241786701 377096617580 452515941096 565644926370 716483573402 754193235160 1074725360103 1131289852740 1432967146804 1791208933505 2149450720206 2262579705480 2865934293608 3582417867010 4298901440412 5373626800515 7164835734020 8597802880824 10747253601030 14329671468040 21494507202060 42989014404120