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53315304240 = 24351127174521
BaseRepresentation
bin110001101001110101…
…101111101100110000
312002121122011002001210
4301221311233230300
51333142204213430
640254232000120
73565126415532
oct615165575460
9162548132053
1053315304240
112067a110210
12a3bb230040
135048880003
14281ab71852
1515c096c2b0
hexc69d6fb30

53315304240 has 160 divisors (see below), whose sum is σ = 180970417152. Its totient is φ = 12877056000.

The previous prime is 53315304227. The next prime is 53315304247. The reversal of 53315304240 is 4240351335.

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 = 53315304198 and 53315304207.

It is not an unprimeable number, because it can be changed into a prime (53315304247) 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, 678180 + ... + 752700.

Almost surely, 253315304240 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 53315304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90485208576).

53315304240 is an abundant number, since it is smaller than the sum of its proper divisors (127655112912).

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

53315304240 is a wasteful number, since it uses less digits than its factorization.

53315304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74819 (or 74813 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 53315304240 its reverse (4240351335), we get a palindrome (57555655575).

The spelling of 53315304240 in words is "fifty-three billion, three hundred fifteen million, three hundred four thousand, two hundred 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 88 110 120 132 165 176 220 240 264 271 330 440 528 542 660 813 880 1084 1320 1355 1626 2168 2640 2710 2981 3252 4065 4336 5420 5962 6504 8130 8943 10840 11924 13008 14905 16260 17886 21680 23848 29810 32520 35772 44715 47696 59620 65040 71544 74521 89430 119240 143088 149042 178860 223563 238480 298084 357720 372605 447126 596168 715440 745210 819731 894252 1117815 1192336 1490420 1639462 1788504 2235630 2459193 2980840 3278924 3577008 4098655 4471260 4918386 5961680 6557848 8197310 8942520 9836772 12295965 13115696 16394620 17885040 19673544 20195191 24591930 32789240 39347088 40390382 49183860 60585573 65578480 80780764 98367720 100975955 121171146 161561528 196735440 201951910 222147101 242342292 302927865 323123056 403903820 444294202 484684584 605855730 666441303 807807640 888588404 969369168 1110735505 1211711460 1332882606 1615615280 1777176808 2221471010 2423422920 2665765212 3332206515 3554353616 4442942020 4846845840 5331530424 6664413030 8885884040 10663060848 13328826060 17771768080 26657652120 53315304240