Search a number
-
+
233152414033504 = 257331685226459
BaseRepresentation
bin110101000000110100000110…
…110100010010011001100000
31010120112011010121111012210111
4311000310012310102121200
5221024432120443033004
62143512423525541104
7100052464112125000
oct6500640664223140
91116464117435714
10233152414033504
11683204244a6339
12221965bb874794
13a01324196a864
1441808cc0cc000
151be4c69085a04
hexd40d06d12660

233152414033504 has 96 divisors (see below), whose sum is σ = 552566617344000. Its totient is φ = 96699157752960.

The previous prime is 233152414033433. The next prime is 233152414033523. The reversal of 233152414033504 is 405330414251332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342272974 + ... + 342953485.

It is an arithmetic number, because the mean of its divisors is an integer number (5755902264000).

Almost surely, 2233152414033504 is an apocalyptic number.

It is an amenable number.

233152414033504 is an abundant number, since it is smaller than the sum of its proper divisors (319414203310496).

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

233152414033504 is an equidigital number, since it uses as much as digits as its factorization.

233152414033504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685226521 (or 685226499 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 233152414033504 its reverse (405330414251332), we get a palindrome (638482828284836).

The spelling of 233152414033504 in words is "two hundred thirty-three trillion, one hundred fifty-two billion, four hundred fourteen million, thirty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 343 392 434 496 686 784 868 992 1372 1519 1568 1736 2744 3038 3472 5488 6076 6944 10633 10976 12152 21266 24304 42532 48608 85064 170128 340256 685226459 1370452918 2740905836 4796585213 5481811672 9593170426 10963623344 19186340852 21242020229 21927246688 33576096491 38372681704 42484040458 67152192982 76745363408 84968080916 134304385964 148694141603 153490726816 169936161832 235032675437 268608771928 297388283206 339872323664 470065350874 537217543856 594776566412 679744647328 940130701748 1040858991221 1074435087712 1189553132824 1880261403496 2081717982442 2379106265648 3760522806992 4163435964884 4758212531296 7286012938547 7521045613984 8326871929768 14572025877094 16653743859536 29144051754188 33307487719072 58288103508376 116576207016752 233152414033504