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130844713440 = 2535738941879
BaseRepresentation
bin111100111011011110…
…0111110000111100000
3110111201210102010121210
41321312330332013200
54120432221312230
6140035332150120
712311311466520
oct1716674760740
9414653363553
10130844713440
115054447a911
1221437768340
13c452bb177c
146493753680
15360c0bdeb0
hex1e76f3e1e0

130844713440 has 96 divisors (see below), whose sum is σ = 471040980480. Its totient is φ = 29907362304.

The previous prime is 130844713367. The next prime is 130844713451. The reversal of 130844713440 is 44317448031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19467580 + ... + 19474299.

It is an arithmetic number, because the mean of its divisors is an integer number (4906676880).

Almost surely, 2130844713440 is an apocalyptic number.

130844713440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130844713440 is an abundant number, since it is smaller than the sum of its proper divisors (340196267040).

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

130844713440 is a wasteful number, since it uses less digits than its factorization.

130844713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38941904 (or 38941896 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 130844713440 in words is "one hundred thirty billion, eight hundred forty-four million, seven hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 38941879 77883758 116825637 155767516 194709395 233651274 272593153 311535032 389418790 467302548 545186306 584128185 623070064 778837580 817779459 934605096 1090372612 1168256370 1246140128 1362965765 1557675160 1635558918 1869210192 2180745224 2336512740 2725931530 3115350320 3271117836 3738420384 4088897295 4361490448 4673025480 5451863060 6230700640 6542235672 8177794590 8722980896 9346050960 10903726120 13084471344 16355589180 18692101920 21807452240 26168942688 32711178360 43614904480 65422356720 130844713440