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138573150430 = 251113217225793
BaseRepresentation
bin1000000100001110011…
…0100111100011011110
3111020200101211102002211
42001003212213203132
54232244211303210
6143354251311034
713003654226011
oct2010346474336
9436611742084
10138573150430
115384aa26a20
1222a33a4b47a
13100b50a2500
1469c7d2b378
15391082638a
hex20439a78de

138573150430 has 144 divisors (see below), whose sum is σ = 313012666224. Its totient is φ = 43776245760.

The previous prime is 138573150421. The next prime is 138573150431. The reversal of 138573150430 is 34051375831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138573150431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5359614 + ... + 5385406.

It is an arithmetic number, because the mean of its divisors is an integer number (2173699071).

Almost surely, 2138573150430 is an apocalyptic number.

138573150430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138573150430 is an abundant number, since it is smaller than the sum of its proper divisors (174439515794).

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

138573150430 is a wasteful number, since it uses less digits than its factorization.

138573150430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25871 (or 25841 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 138573150430 in words is "one hundred thirty-eight billion, five hundred seventy-three million, one hundred fifty thousand, four hundred thirty".

Divisors: 1 2 5 10 11 13 17 22 26 34 55 65 85 110 130 143 169 170 187 221 286 289 338 374 442 578 715 845 935 1105 1430 1445 1690 1859 1870 2210 2431 2873 2890 3179 3718 3757 4862 5746 6358 7514 9295 12155 14365 15895 18590 18785 24310 25793 28730 31603 31790 37570 41327 48841 51586 63206 82654 97682 128965 158015 206635 244205 257930 283723 316030 335309 413270 438481 488410 537251 567446 670618 876962 1074502 1418615 1676545 2192405 2686255 2837230 3353090 3688399 4359017 4384810 4823291 5372510 5700253 7376798 7454177 8718034 9646582 11400506 14908354 18441995 21795085 24116455 28501265 36883990 37270885 43590170 47949187 48232910 57002530 62702783 74103289 74541770 81995947 95898374 96904301 125405566 148206578 163991894 193808602 239745935 313513915 370516445 409979735 479491870 484521505 627027830 741032890 815136179 819959470 969043010 1065947311 1259755913 1630272358 2131894622 2519511826 4075680895 5329736555 6298779565 8151361790 10659473110 12597559130 13857315043 27714630086 69286575215 138573150430