Search a number
-
+
151405513131340 = 2251310719727626021
BaseRepresentation
bin100010011011001111010111…
…110100111100010101001100
3201212002020002112101200100001
4202123033113310330111030
5124321111442330200330
61254002422120214044
743614454521225556
oct4233172764742514
9655066075350301
10151405513131340
1144273799035746
1214b934a000a324
13666362b703680
1429560cccda4d6
1512786115a49ca
hex89b3d7d3c54c

151405513131340 has 96 divisors (see below), whose sum is σ = 347363854415424. Its totient is φ = 55099986385920.

The previous prime is 151405513131269. The next prime is 151405513131361. The reversal of 151405513131340 is 43131315504151.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 151405513131340.

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, 8332471 + ... + 19293550.

It is an arithmetic number, because the mean of its divisors is an integer number (3618373483494).

Almost surely, 2151405513131340 is an apocalyptic number.

151405513131340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151405513131340 is an abundant number, since it is smaller than the sum of its proper divisors (195958341284084).

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

151405513131340 is a wasteful number, since it uses less digits than its factorization.

151405513131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27626347 (or 27626345 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

Adding to 151405513131340 its reverse (43131315504151), we get a palindrome (194536828635491).

The spelling of 151405513131340 in words is "one hundred fifty-one trillion, four hundred five billion, five hundred thirteen million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 197 214 260 394 428 535 788 985 1070 1391 1970 2140 2561 2782 3940 5122 5564 6955 10244 12805 13910 21079 25610 27820 42158 51220 84316 105395 210790 274027 421580 548054 1096108 1370135 2740270 5480540 27626021 55252042 110504084 138130105 276260210 359138273 552520420 718276546 1436553092 1795691365 2955984247 3591382730 5442326137 5911968494 7182765460 10884652274 11823936988 14779921235 21769304548 27211630685 29559842470 38427795211 54423261370 59119684940 70750239781 76855590422 108846522740 141500479562 153711180844 192138976055 283000959124 353751198905 384277952110 582328896659 707502397810 768555904220 1164657793318 1415004795620 2329315586636 2911644483295 5823288966590 7570275656567 11646577933180 15140551313134 30281102626268 37851378282835 75702756565670 151405513131340