Search a number
-
+
232040133233040 = 243511721312185497
BaseRepresentation
bin110100110000101000001101…
…101101110000100110010000
31010102120211010211221010220010
4310300220031231300212100
5220403221143101424130
62141301433212114520
766606226546250316
oct6460501555604620
91112524124833803
10232040133233040
1167a31738a33180
1222036b23165a40
139c623a17c2c62
144142b339d00b6
151bc5d6a3990b0
hexd30a0db70990

232040133233040 has 160 divisors (see below), whose sum is σ = 784826398002816. Its totient is φ = 56244350177280.

The previous prime is 232040133233033. The next prime is 232040133233171. The reversal of 232040133233040 is 40332331040232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232040133232989 and 232040133233007.

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, 12949572 + ... + 25135068.

Almost surely, 2232040133233040 is an apocalyptic number.

232040133233040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232040133233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392413199001408).

232040133233040 is an abundant number, since it is smaller than the sum of its proper divisors (552786264769776).

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

232040133233040 is a wasteful number, since it uses less digits than its factorization.

232040133233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12192737 (or 12192731 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 232040133233040 its reverse (40332331040232), we get a palindrome (272372464273272).

The spelling of 232040133233040 in words is "two hundred thirty-two trillion, forty billion, one hundred thirty-three million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 7213 14426 21639 28852 36065 43278 57704 72130 79343 86556 108195 115408 144260 158686 173112 216390 238029 288520 317372 346224 396715 432780 476058 577040 634744 793430 865560 952116 1190145 1269488 1586860 1731120 1904232 2380290 3173720 3808464 4760580 6347440 9521160 12185497 19042320 24370994 36556491 48741988 60927485 73112982 97483976 121854970 134040467 146225964 182782455 194967952 243709940 268080934 292451928 365564910 402121401 487419880 536161868 584903856 670202335 731129820 804242802 974839760 1072323736 1340404670 1462259640 1608485604 2010607005 2144647472 2680809340 2924519280 3216971208 4021214010 5361618680 6433942416 8042428020 10723237360 16084856040 32169712080 87893989861 175787979722 263681969583 351575959444 439469949305 527363939166 703151918888 878939898610 966833888471 1054727878332 1318409847915 1406303837776 1757879797220 1933667776942 2109455756664 2636819695830 2900501665413 3515759594440 3867335553884 4218911513328 4834169442355 5273639391660 5801003330826 7031519188880 7734671107768 9668338884710 10547278783320 11602006661652 14502508327065 15469342215536 19336677769420 21094557566640 23204013323304 29005016654130 38673355538840 46408026646608 58010033308260 77346711077680 116020066616520 232040133233040