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5214156324 = 22313253139349
BaseRepresentation
bin1001101101100100…
…11011011000100100
3111110101100120210220
410312302123120210
541134311000244
62221221244340
7243132411636
oct46662333044
914411316726
105214156324
112236289903
1210162636b0
13651331500
143766caa56
15207b5a319
hex136c9b624

5214156324 has 144 divisors (see below), whose sum is σ = 13558104000. Its totient is φ = 1558282752.

The previous prime is 5214156229. The next prime is 5214156349. The reversal of 5214156324 is 4236514125.

It is a super-2 number, since 2×52141563242 = 54374852342218385952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14940102 + ... + 14940450.

It is an arithmetic number, because the mean of its divisors is an integer number (94153500).

Almost surely, 25214156324 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 5214156324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779052000).

5214156324 is an abundant number, since it is smaller than the sum of its proper divisors (8343947676).

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

5214156324 is a wasteful number, since it uses less digits than its factorization.

5214156324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 559 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 5214156324 is about 72209.1152417754. The cubic root of 5214156324 is about 1734.0489350807.

The spelling of 5214156324 in words is "five billion, two hundred fourteen million, one hundred fifty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 139 156 159 169 212 278 318 338 349 417 507 556 636 676 689 698 834 1014 1047 1378 1396 1668 1807 2028 2067 2094 2756 3614 4134 4188 4537 5421 7228 7367 8268 8957 9074 10842 13611 14734 17914 18148 18497 21684 22101 23491 26871 27222 29468 35828 36994 44202 46982 48511 53742 54444 55491 58981 70473 73988 88404 93964 95771 97022 107484 110982 117962 140946 145533 176943 191542 194044 221964 235924 240461 281892 287313 291066 353886 383084 480922 574626 582132 630643 707772 721383 961844 1149252 1245023 1261286 1442766 1891929 2490046 2522572 2571083 2885532 3125993 3735069 3783858 4980092 5142166 6251986 7470138 7567716 7713249 8198359 9377979 10284332 12503972 14940276 15426498 16396718 18755958 24595077 30852996 32793436 33424079 37511916 49190154 66848158 98380308 100272237 133696316 200544474 401088948 434513027 869026054 1303539081 1738052108 2607078162 5214156324