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130144164720 = 24351941696107
BaseRepresentation
bin111100100110100110…
…0100101101101110000
3110102220222012120102220
41321031030211231300
54113013401232340
6135442025041040
712255044101443
oct1711514455560
9412828176386
10130144164720
1150214a96229
1221281026180
13c370a0c6bb
1464286b565a
1535ba83ded0
hex1e4d325b70

130144164720 has 160 divisors (see below), whose sum is σ = 435039655680. Its totient is φ = 32076564480.

The previous prime is 130144164719. The next prime is 130144164737. The reversal of 130144164720 is 27461441031.

It is a super-2 number, since 2×1301441647202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161094 + ... + 535013.

It is an arithmetic number, because the mean of its divisors is an integer number (2718997848).

Almost surely, 2130144164720 is an apocalyptic number.

130144164720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130144164720 is an abundant number, since it is smaller than the sum of its proper divisors (304895490960).

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

130144164720 is a wasteful number, since it uses less digits than its factorization.

130144164720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696183 (or 696177 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 130144164720 in words is "one hundred thirty billion, one hundred forty-four million, one hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 41 48 57 60 76 80 82 95 114 120 123 152 164 190 205 228 240 246 285 304 328 380 410 456 492 570 615 656 760 779 820 912 984 1140 1230 1520 1558 1640 1968 2280 2337 2460 3116 3280 3895 4560 4674 4920 6232 7790 9348 9840 11685 12464 15580 18696 23370 31160 37392 46740 62320 93480 186960 696107 1392214 2088321 2784428 3480535 4176642 5568856 6961070 8353284 10441605 11137712 13226033 13922140 16706568 20883210 26452066 27844280 28540387 33413136 39678099 41766420 52904132 55688560 57080774 66130165 79356198 83532840 85621161 105808264 114161548 132260330 142701935 158712396 167065680 171242322 198390495 211616528 228323096 264520660 285403870 317424792 342484644 396780990 428105805 456646192 529041320 542267353 570807740 634849584 684969288 793561980 856211610 1058082640 1084534706 1141615480 1369938576 1587123960 1626802059 1712423220 2169069412 2283230960 2711336765 3174247920 3253604118 3424846440 4338138824 5422673530 6507208236 6849692880 8134010295 8676277648 10845347060 13014416472 16268020590 21690694120 26028832944 32536041180 43381388240 65072082360 130144164720