Search a number
-
+
142114123010440 = 23571929921144173
BaseRepresentation
bin100000010100000010000101…
…110100011101000110001000
3200122011222101120122222222201
4200110002011310131012020
5122111344210442313230
61222130154332125544
741635256310261160
oct4024020564350610
9618158346588881
10142114123010440
1141311296593989
1213b328043068b4
13613b3c57025c9
1427145087755a0
151166aab5345ca
hex814085d1d188

142114123010440 has 128 divisors (see below), whose sum is σ = 397934283168000. Its totient is φ = 44568639618048.

The previous prime is 142114123010389. The next prime is 142114123010471. The reversal of 142114123010440 is 44010321411241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 142114123010399 and 142114123010408.

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, 460417807 + ... + 460726366.

It is an arithmetic number, because the mean of its divisors is an integer number (3108861587250).

Almost surely, 2142114123010440 is an apocalyptic number.

142114123010440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142114123010440 is an abundant number, since it is smaller than the sum of its proper divisors (255820160157560).

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

142114123010440 is a wasteful number, since it uses less digits than its factorization.

142114123010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921144239 (or 921144235 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 142114123010440 its reverse (44010321411241), we get a palindrome (186124444421681).

The spelling of 142114123010440 in words is "one hundred forty-two trillion, one hundred fourteen billion, one hundred twenty-three million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 29 35 38 40 56 58 70 76 95 116 133 140 145 152 190 203 232 266 280 290 380 406 532 551 580 665 760 812 1015 1064 1102 1160 1330 1624 2030 2204 2660 2755 3857 4060 4408 5320 5510 7714 8120 11020 15428 19285 22040 30856 38570 77140 154280 921144173 1842288346 3684576692 4605720865 6448009211 7369153384 9211441730 12896018422 17501739287 18422883460 25792036844 26713181017 32240046055 35003478574 36845766920 51584073688 53426362034 64480092110 70006957148 87508696435 106852724068 122512175009 128960184220 133565905085 140013914296 175017392870 186992267119 213705448136 245024350018 257920368440 267131810170 350034785740 373984534238 490048700036 507550439323 534263620340 612560875045 700069571480 747969068476 934961335595 980097400072 1015100878646 1068527240680 1225121750090 1495938136952 1869922671190 2030201757292 2450243500180 2537752196615 3552853075261 3739845342380 4060403514584 4900487000360 5075504393230 7105706150522 7479690684760 10151008786460 14211412301044 17764265376305 20302017572920 28422824602088 35528530752610 71057061505220 142114123010440