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5040143724 = 22372115571399
BaseRepresentation
bin1001011000110101…
…00111110101101100
3111000020220211101210
410230122213311230
540310234044344
62152043434420
7235620341400
oct45432476554
914006824353
105040143724
112157036640
12b87b25a10
13624275985
1435b551100
151e7735db9
hex12c6a7d6c

5040143724 has 144 divisors (see below), whose sum is σ = 14961542400. Its totient is φ = 1305843840.

The previous prime is 5040143687. The next prime is 5040143741. The reversal of 5040143724 is 4273410405.

It is a junction number, because it is equal to n+sod(n) for n = 5040143691 and 5040143700.

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, 3601977 + ... + 3603375.

It is an arithmetic number, because the mean of its divisors is an integer number (103899600).

Almost surely, 25040143724 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 5040143724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480771200).

5040143724 is an abundant number, since it is smaller than the sum of its proper divisors (9921398676).

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

5040143724 is a wasteful number, since it uses less digits than its factorization.

5040143724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 5040143724 is about 70993.9696312299. The cubic root of 5040143724 is about 1714.5400738088.

The spelling of 5040143724 in words is "five billion, forty million, one hundred forty-three thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 557 588 924 1078 1114 1399 1617 1671 2156 2228 2798 3234 3342 3899 4197 5596 6127 6468 6684 7798 8394 9793 11697 12254 15389 15596 16788 18381 19586 23394 24508 27293 29379 30778 36762 39172 42889 46167 46788 54586 58758 61556 68551 73524 81879 85778 92334 107723 109172 117516 128667 137102 163758 171556 184668 205653 215446 257334 274204 300223 323169 327516 411306 430892 514668 600446 646338 754061 779243 822612 900669 1200892 1292676 1508122 1558486 1801338 2262183 2337729 3016244 3116972 3602676 4524366 4675458 5454701 8571673 9048732 9350916 10909402 16364103 17143346 21818804 25715019 32728206 34286692 38182907 51430038 60001711 65456412 76365814 102860076 114548721 120003422 152731628 180005133 229097442 240006844 360010266 420011977 458194884 720020532 840023954 1260035931 1680047908 2520071862 5040143724