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1317404414430 = 234513383326657
BaseRepresentation
bin10011001010111011011…
…011000001000111011110
311122221110011211022110000
4103022323123001013132
5133041021012230210
62445112432355130
7164115336521406
oct23127333010736
94587404738400
101317404414430
114687874a1375
121933a40a5aa6
13972ccb16510
1447a96c5b806
1524406d83ac0
hex132bb6c11de

1317404414430 has 160 divisors (see below), whose sum is σ = 3824815002624. Its totient is φ = 323436478464.

The previous prime is 1317404414407. The next prime is 1317404414477. The reversal of 1317404414430 is 344144047131.

1317404414430 is a `hidden beast` number, since 1 + 3 + 174 + 0 + 4 + 41 + 443 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3869662 + ... + 4196318.

Almost surely, 21317404414430 is an apocalyptic number.

1317404414430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317404414430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912407501312).

1317404414430 is an abundant number, since it is smaller than the sum of its proper divisors (2507410588194).

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

1317404414430 is a wasteful number, since it uses less digits than its factorization.

1317404414430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327072 (or 327063 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 1317404414430 in words is "one trillion, three hundred seventeen billion, four hundred four million, four hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 383 390 405 585 702 766 810 1053 1149 1170 1755 1915 2106 2298 3447 3510 3830 4979 5265 5745 6894 9958 10341 10530 11490 14937 17235 20682 24895 29874 31023 34470 44811 49790 51705 62046 74685 89622 103410 134433 149370 155115 224055 268866 310230 326657 403299 448110 653314 672165 806598 979971 1344330 1633285 1959942 2016495 2939913 3266570 4032990 4246541 4899855 5879826 8493082 8819739 9799710 12739623 14699565 17639478 21232705 25479246 26459217 29399130 38218869 42465410 44098695 52918434 63698115 76437738 88197390 114656607 125109631 127396230 132296085 191094345 229313214 250219262 264592170 343969821 375328893 382188690 573283035 625548155 687939642 750657786 1125986679 1146566070 1251096310 1626425203 1719849105 1876644465 2251973358 3252850406 3377960037 3439698210 3753288930 4879275609 5629933395 6755920074 8132126015 9758551218 10133880111 11259866790 14637826827 16264252030 16889800185 20267760222 24396378045 29275653654 33779600370 43913480481 48792756090 50669400555 73189134135 87826960962 101338801110 131740441443 146378268270 219567402405 263480882886 439134804810 658702207215 1317404414430