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150413032053232 = 241317223353540373
BaseRepresentation
bin100010001100110011000011…
…010110000101100111110000
3201201120100022211011001122121
4202030303003112011213300
5124203331342201200412
61251522443142244024
743452661103241604
oct4214630326054760
9651510284131577
10150413032053232
1143a20899375093
1214a53078126614
1365c0b710bc650
14292005b2cd504
15125c8c4eac107
hex88ccc35859f0

150413032053232 has 160 divisors (see below), whose sum is σ = 334740268251648. Its totient is φ = 64860410216448.

The previous prime is 150413032053133. The next prime is 150413032053233. The reversal of 150413032053232 is 232350230314051.

It is a super-2 number, since 2×1504130320532322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150413032053233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278080198 + ... + 278620570.

Almost surely, 2150413032053232 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 150413032053232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167370134125824).

150413032053232 is an abundant number, since it is smaller than the sum of its proper divisors (184327236198416).

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

150413032053232 is a wasteful number, since it uses less digits than its factorization.

150413032053232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540987 (or 540981 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 150413032053232 its reverse (232350230314051), we get a palindrome (382763262367283).

The spelling of 150413032053232 in words is "one hundred fifty trillion, four hundred thirteen billion, thirty-two million, fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 223 272 353 442 446 706 884 892 1412 1768 1784 2824 2899 3536 3568 3791 4589 5648 5798 6001 7582 9178 11596 12002 15164 18356 23192 24004 30328 36712 46384 48008 49283 60656 73424 78013 78719 96016 98566 156026 157438 197132 312052 314876 394264 540373 624104 629752 788528 1023347 1080746 1248208 1259504 1338223 2046694 2161492 2676446 4093388 4322984 5352892 7024849 8186776 8645968 9186341 10705784 14049698 16373552 17396899 18372682 21411568 28099396 34793798 36745364 56198792 69587596 73490728 112397584 119422433 120503179 139175192 146981456 190751669 238844866 241006358 278350384 381503338 477689732 482012716 763006676 955379464 964025432 1526013352 1566541327 1910758928 1928050864 2048554043 2479771697 3052026704 3133082654 3242778373 4097108086 4959543394 6266165308 6485556746 8194216172 9919086788 12532330616 12971113492 16388432344 19838173576 25064661232 25942226984 26631202559 32776864688 39676347152 42156118849 42537622187 51884453968 53262405118 84312237698 85075244374 106524810236 168624475396 170150488748 213049620472 337248950792 340300977496 426099240944 552989088431 674497901584 680601954992 723139577179 1105978176862 1446279154358 2211956353724 2892558308716 4423912707448 5785116617432 8847825414896 9400814503327 11570233234864 18801629006654 37603258013308 75206516026616 150413032053232