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130698723840 = 2935138112323
BaseRepresentation
bin111100110111001000…
…0000100001000000000
3110111100121201002112120
41321232100010020000
54120132333130330
6140013035124240
712304556552046
oct1715620041000
9414317632476
10130698723840
115047a027753
12213b68a3680
13c42b8880a9
14647c1d0396
1535ee382c10
hex1e6e404200

130698723840 has 160 divisors (see below), whose sum is σ = 418163967936. Its totient is φ = 34824929280.

The previous prime is 130698723839. The next prime is 130698723851. The reversal of 130698723840 is 48327896031.

It is a tau number, because it is divible by the number of its divisors (160).

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, 10599919 + ... + 10612241.

Almost surely, 2130698723840 is an apocalyptic number.

130698723840 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 130698723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209081983968).

130698723840 is an abundant number, since it is smaller than the sum of its proper divisors (287465244096).

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

130698723840 is a wasteful number, since it uses less digits than its factorization.

130698723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13730 (or 13714 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 130698723840 in words is "one hundred thirty billion, six hundred ninety-eight million, seven hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1381 1536 1920 2560 2762 3840 4143 5524 6905 7680 8286 11048 12323 13810 16572 20715 22096 24646 27620 33144 36969 41430 44192 49292 55240 61615 66288 73938 82860 88384 98584 110480 123230 132576 147876 165720 176768 184845 197168 220960 246460 265152 295752 331440 353536 369690 394336 441920 492920 530304 591504 662880 707072 739380 788672 883840 985840 1060608 1183008 1325760 1478760 1577344 1767680 1971680 2121216 2366016 2651520 2957520 3154688 3535360 3943360 4732032 5303040 5915040 6309376 7886720 9464064 10606080 11830080 15773440 17018063 18928128 23660160 31546880 34036126 47320320 51054189 68072252 85090315 94640640 102108378 136144504 170180630 204216756 255270945 272289008 340361260 408433512 510541890 544578016 680722520 816867024 1021083780 1089156032 1361445040 1633734048 2042167560 2178312064 2722890080 3267468096 4084335120 4356624128 5445780160 6534936192 8168670240 8713248256 10891560320 13069872384 16337340480 21783120640 26139744768 32674680960 43566241280 65349361920 130698723840