Search a number
-
+
5141553040 = 2451371179389
BaseRepresentation
bin1001100100111010…
…11101111110010000
3111021022201221211101
410302131131332100
541012214144130
62210105154144
7241261323361
oct46235357620
914238657741
105141553040
1121a92aa998
12bb5a8b954
1363c290aa0
1436abcbb68
152015b81ca
hex13275df90

5141553040 has 160 divisors (see below), whose sum is σ = 13161657600. Its totient is φ = 1856440320.

The previous prime is 5141553017. The next prime is 5141553091. The reversal of 5141553040 is 403551415.

5141553040 = 1632 + 1642 + ... + 24892.

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, 13217166 + ... + 13217554.

It is an arithmetic number, because the mean of its divisors is an integer number (82260360).

Almost surely, 25141553040 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 5141553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580828800).

5141553040 is an abundant number, since it is smaller than the sum of its proper divisors (8020104560).

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

5141553040 is a wasteful number, since it uses less digits than its factorization.

5141553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 5141553040 is about 71704.6235608277. The cubic root of 5141553040 is about 1725.9628359989.

The spelling of 5141553040 in words is "five billion, one hundred forty-one million, five hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 71 80 104 130 142 179 208 260 284 355 358 389 520 568 710 716 778 895 923 1040 1136 1420 1432 1556 1790 1846 1945 2327 2840 2864 3112 3580 3692 3890 4615 4654 5057 5680 6224 7160 7384 7780 9230 9308 10114 11635 12709 14320 14768 15560 18460 18616 20228 23270 25285 25418 27619 31120 36920 37232 40456 46540 50570 50836 55238 63545 69631 73840 80912 93080 101140 101672 110476 127090 138095 139262 165217 186160 202280 203344 220952 254180 276190 278524 330434 348155 359047 404560 441904 508360 552380 557048 660868 696310 718094 826085 905203 1016720 1104760 1114096 1321736 1392620 1436188 1652170 1795235 1810406 2209520 2643472 2785240 2872376 3304340 3590470 3620812 4526015 4943801 5570480 5744752 6608680 7180940 7241624 9052030 9887602 13217360 14361880 14483248 18104060 19775204 24719005 28723760 36208120 39550408 49438010 64269413 72416240 79100816 98876020 128538826 197752040 257077652 321347065 395504080 514155304 642694130 1028310608 1285388260 2570776520 5141553040