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130421241433404 = 2232194191571289669
BaseRepresentation
bin11101101001111000001111…
…110001000100110100111100
3122002210011000120002021111100
4131221320033301010310330
5114043310200301332104
61141214405143453100
736320423641622655
oct3551701761046474
9562704016067440
10130421241433404
1138613379794969
1212764615a57190
1357a089383b71c
14242c5c948052c
151012850bd0139
hex769e0fc44d3c

130421241433404 has 144 divisors (see below), whose sum is σ = 348078131856000. Its totient is φ = 41061064682880.

The previous prime is 130421241433387. The next prime is 130421241433421. The reversal of 130421241433404 is 404334142124031.

130421241433404 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 2 + 1 + 241 + 4 + 3 + 3 + 404 = 666.

It is an interprime number because it is at equal distance from previous prime (130421241433387) and next prime (130421241433421).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450097482 + ... + 450387150.

It is an arithmetic number, because the mean of its divisors is an integer number (2417209249000).

Almost surely, 2130421241433404 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 130421241433404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174039065928000).

130421241433404 is an abundant number, since it is smaller than the sum of its proper divisors (217656890422596).

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

130421241433404 is a wasteful number, since it uses less digits than its factorization.

130421241433404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291688 (or 291683 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 130421241433404 its reverse (404334142124031), we get a palindrome (534755383557435).

The spelling of 130421241433404 in words is "one hundred thirty trillion, four hundred twenty-one billion, two hundred forty-one million, four hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 419 684 838 1257 1571 1676 2514 3142 3771 4713 5028 6284 7542 7961 9426 14139 15084 15922 18852 23883 28278 29849 31844 47766 56556 59698 71649 89547 95532 119396 143298 179094 268641 286596 289669 358188 537282 579338 658249 869007 1074564 1158676 1316498 1738014 1974747 2607021 2632996 3476028 3949494 5214042 5503711 5924241 7898988 10428084 11007422 11848482 12506731 16511133 22014844 23696964 25013462 33022266 37520193 49533399 50026924 66044532 75040386 99066798 112560579 121371311 150080772 198133596 225121158 242742622 364113933 450242316 455069999 485485244 728227866 910139998 1092341799 1365209997 1456455732 1820279996 2184683598 2306054909 2730419994 4095629991 4369367196 4612109818 5460839988 6918164727 8191259982 8646329981 9224219636 13836329454 16382519964 17292659962 20754494181 25938989943 27672658908 34585319924 41508988362 51877979886 77816969829 83017976724 103755959772 155633939658 190674329581 311267879316 381348659162 572022988743 762697318324 1144045977486 1716068966229 2288091954972 3432137932458 3622812262039 6864275864916 7245624524078 10868436786117 14491249048156 21736873572234 32605310358351 43473747144468 65210620716702 130421241433404