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140104623280 = 245233716712323
BaseRepresentation
bin1000001001111011100…
…0101110010010110000
3111101122010120021220111
42002132320232102300
54243413240421110
6144210240151104
713056631435306
oct2023670562260
9441563507814
10140104623280
1154466453166
12231a0908494
131029a463c6b
146ad14a4276
15399eedae8a
hex209ee2e4b0

140104623280 has 160 divisors (see below), whose sum is σ = 351211521024. Its totient is φ = 51839935488.

The previous prime is 140104623277. The next prime is 140104623301. The reversal of 140104623280 is 82326401041.

It is a super-3 number, since 3×1401046232803 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11363199 + ... + 11375521.

Almost surely, 2140104623280 is an apocalyptic number.

140104623280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140104623280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175605760512).

140104623280 is an abundant number, since it is smaller than the sum of its proper divisors (211106897744).

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

140104623280 is a wasteful number, since it uses less digits than its factorization.

140104623280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12563 (or 12557 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 140104623280 in words is "one hundred forty billion, one hundred four million, six hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 37 40 46 74 80 92 115 148 167 184 185 230 296 334 368 370 460 592 668 740 835 851 920 1336 1480 1670 1702 1840 2672 2960 3340 3404 3841 4255 6179 6680 6808 7682 8510 12323 12358 13360 13616 15364 17020 19205 24646 24716 30728 30895 34040 38410 49292 49432 61456 61615 61790 68080 76820 98584 98864 123230 123580 142117 153640 197168 246460 247160 283429 284234 307280 455951 492920 494320 566858 568468 710585 911902 985840 1133716 1136936 1417145 1421170 1823804 2057941 2267432 2273872 2279755 2834290 2842340 3647608 4115882 4534864 4559510 5668580 5684680 7295216 8231764 9119020 10289705 10486873 11337160 11369360 16463528 18238040 20579410 20973746 22674320 32927056 36476080 41158820 41947492 47332643 52434365 76143817 82317640 83894984 94665286 104868730 152287634 164635280 167789968 189330572 209737460 236663215 304575268 378661144 380719085 419474920 473326430 609150536 757322288 761438170 838949840 946652860 1218301072 1522876340 1751307791 1893305720 3045752680 3502615582 3786611440 6091505360 7005231164 8756538955 14010462328 17513077910 28020924656 35026155820 70052311640 140104623280