Search a number
-
+
156119744430 = 232513247218389
BaseRepresentation
bin1001000101100101110…
…1100011111110101110
3112220222020211202000200
42101121131203332232
510024213123310210
6155415335534330
714164535634516
oct2213135437656
9486866752020
10156119744430
1160234586781
122631022a3a6
13119503b2a00
1477b0450846
1540daebc0c0
hex2459763fae

156119744430 has 144 divisors (see below), whose sum is σ = 448891035840. Its totient is φ = 37611654912.

The previous prime is 156119744381. The next prime is 156119744437. The reversal of 156119744430 is 34447911651.

156119744430 is a `hidden beast` number, since 1 + 561 + 1 + 9 + 7 + 44 + 43 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156119744437) 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, 605676 + ... + 824064.

It is an arithmetic number, because the mean of its divisors is an integer number (3117298860).

Almost surely, 2156119744430 is an apocalyptic number.

156119744430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 156119744430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224445517920).

156119744430 is an abundant number, since it is smaller than the sum of its proper divisors (292771291410).

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

156119744430 is a wasteful number, since it uses less digits than its factorization.

156119744430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218475 (or 218459 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 156119744430 in words is "one hundred fifty-six billion, one hundred nineteen million, seven hundred forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 47 65 78 90 94 117 130 141 169 195 234 235 282 338 390 423 470 507 585 611 705 845 846 1014 1170 1222 1410 1521 1690 1833 2115 2535 3042 3055 3666 4230 5070 5499 6110 7605 7943 9165 10998 15210 15886 18330 23829 27495 39715 47658 54990 71487 79430 119145 142974 218389 238290 357435 436778 655167 714870 1091945 1310334 1965501 2183890 2839057 3275835 3931002 5678114 6551670 8517171 9827505 10264283 14195285 17034342 19655010 20528566 25551513 28390570 30792849 36907741 42585855 51103026 51321415 61585698 73815482 85171710 92378547 102642830 110723223 127757565 133435679 153964245 184538705 184757094 221446446 255515130 266871358 307928490 332169669 369077410 400307037 461892735 553616115 664339338 667178395 800614074 923785470 1107232230 1200921111 1334356790 1660848345 1734663827 2001535185 2401842222 3321696690 3469327654 4003070370 5203991481 6004605555 8673319135 10407982962 12009211110 15611974443 17346638270 26019957405 31223948886 52039914810 78059872215 156119744430