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5140424124 = 22321123533343
BaseRepresentation
bin1001100100110010…
…01010010110111100
3111021020121121020200
410302121022112330
541011422032444
62210025043500
7241245612153
oct46231122674
914236547220
105140424124
1121a86a9800
12bb5626590
1363bc86ca4
1436a9b659a
15201443969
hex13264a5bc

5140424124 has 108 divisors (see below), whose sum is σ = 14327240928. Its totient is φ = 1552826880.

The previous prime is 5140424119. The next prime is 5140424153. The reversal of 5140424124 is 4214240415.

5140424124 is a `hidden beast` number, since 514 + 0 + 4 + 24 + 124 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1535997 + ... + 1539339.

Almost surely, 25140424124 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 5140424124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163620464).

5140424124 is an abundant number, since it is smaller than the sum of its proper divisors (9186816804).

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

5140424124 is a wasteful number, since it uses less digits than its factorization.

5140424124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 5140424124 is about 71696.7511397832. The cubic root of 5140424124 is about 1725.8365051886.

Adding to 5140424124 its reverse (4214240415), we get a palindrome (9354664539).

The spelling of 5140424124 in words is "five billion, one hundred forty million, four hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 353 363 396 484 706 726 1059 1089 1412 1452 2118 2178 3177 3343 3883 4236 4356 6354 6686 7766 10029 11649 12708 13372 15532 20058 23298 30087 34947 36773 40116 42713 46596 60174 69894 73546 85426 110319 120348 128139 139788 147092 170852 220638 256278 330957 384417 404503 441276 512556 661914 768834 809006 1180079 1213509 1323828 1537668 1618012 2360158 2427018 3540237 3640527 4720316 4854036 7080474 7281054 10620711 12980869 14160948 14562108 21241422 25961738 38942607 42482844 51923476 77885214 116827821 142789559 155770428 233655642 285579118 428368677 467311284 571158236 856737354 1285106031 1713474708 2570212062 5140424124