Search a number
-
+
141137732544 = 26337103192887
BaseRepresentation
bin1000001101110001110…
…1101110001111000000
3111111022010112200101120
42003130131232033000
54303022224420134
6144500543232240
713124344634544
oct2033435561700
9444263480346
10141137732544
1154946630476
122342a8a8680
13104034c4413
146b8c78da24
153a10a5c649
hex20dc76e3c0

141137732544 has 112 divisors (see below), whose sum is σ = 387245035008. Its totient is φ = 45329753088.

The previous prime is 141137732543. The next prime is 141137732551. The reversal of 141137732544 is 445237731141.

It is a junction number, because it is equal to n+sod(n) for n = 141137732496 and 141137732505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141137732543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635269 + ... + 828155.

Almost surely, 2141137732544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141137732544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193622517504).

141137732544 is an abundant number, since it is smaller than the sum of its proper divisors (246107302464).

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

141137732544 is a wasteful number, since it uses less digits than its factorization.

141137732544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193042 (or 193032 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The spelling of 141137732544 in words is "one hundred forty-one billion, one hundred thirty-seven million, seven hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 103 111 148 192 206 222 296 309 412 444 592 618 824 888 1184 1236 1648 1776 2368 2472 3296 3552 3811 4944 6592 7104 7622 9888 11433 15244 19776 22866 30488 45732 60976 91464 121952 182928 192887 243904 365856 385774 578661 731712 771548 1157322 1543096 2314644 3086192 4629288 6172384 7136819 9258576 12344768 14273638 18517152 19867361 21410457 28547276 37034304 39734722 42820914 57094552 59602083 79469444 85641828 114189104 119204166 158938888 171283656 228378208 238408332 317877776 342567312 456756416 476816664 635755552 685134624 735092357 953633328 1271511104 1370269248 1470184714 1907266656 2205277071 2940369428 3814533312 4410554142 5880738856 8821108284 11761477712 17642216568 23522955424 35284433136 47045910848 70568866272 141137732544