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313020440304 = 2431113192400169
BaseRepresentation
bin1001000111000010111…
…10001101111011110000
31002220221221011221000220
410203201132031323300
520112031213042204
6355444414213040
731420636561605
oct4434136157360
91086857157026
10313020440304
11110829972870
12507b9ab4180
1323696509260
14112164ac6ac
1582207ec1d9
hex48e178def0

313020440304 has 160 divisors (see below), whose sum is σ = 1000006828800. Its totient is φ = 82949806080.

The previous prime is 313020440297. The next prime is 313020440339. The reversal of 313020440304 is 403044020313.

It is a super-2 number, since 2×3130204403042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1069669 + ... + 1330500.

It is an arithmetic number, because the mean of its divisors is an integer number (6250042680).

Almost surely, 2313020440304 is an apocalyptic number.

It is an amenable number.

313020440304 is an abundant number, since it is smaller than the sum of its proper divisors (686986388496).

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

313020440304 is a wasteful number, since it uses less digits than its factorization.

313020440304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400223 (or 2400217 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 313020440304 its reverse (403044020313), we get a palindrome (716064460617).

The spelling of 313020440304 in words is "three hundred thirteen billion, twenty million, four hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 624 627 741 836 858 912 988 1144 1254 1482 1672 1716 1976 2288 2508 2717 2964 3344 3432 3952 5016 5434 5928 6864 8151 10032 10868 11856 16302 21736 32604 43472 65208 130416 2400169 4800338 7200507 9600676 14401014 19201352 26401859 28802028 31202197 38402704 45603211 52803718 57604056 62404394 79205577 91206422 93606591 105607436 115208112 124808788 136809633 158411154 182412844 187213182 211214872 249617576 273619266 316822308 343224167 364825688 374426364 422429744 499235152 501635321 547238532 592841743 633644616 686448334 729651376 748852728 1003270642 1029672501 1094477064 1185683486 1267289232 1372896668 1497705456 1504905963 1778525229 2006541284 2059345002 2188954128 2371366972 2745793336 3009811926 3557050458 4013082568 4118690004 4742733944 5491586672 6019623852 6521259173 7114100916 8026165136 8237380008 9485467888 12039247704 13042518346 14228201832 16474760016 19563777519 24078495408 26085036692 28456403664 39127555038 52170073384 78255110076 104340146768 156510220152 313020440304