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1361704427460 = 2232513727800447
BaseRepresentation
bin10011110100001011111…
…010001001111111000100
311211011210112010010220100
4103310023322021333010
5134302232313134320
62521320335404100
7200244206441346
oct23641372117704
94734715103810
101361704427460
1148554a716893
1219baa8083630
139b53c9c1190
1449c9a557296
152564b103790
hex13d0be89fc4

1361704427460 has 144 divisors (see below), whose sum is σ = 4454358644736. Its totient is φ = 334727306496.

The previous prime is 1361704427459. The next prime is 1361704427513. The reversal of 1361704427460 is 647244071631.

1361704427460 is a `hidden beast` number, since 1 + 3 + 61 + 70 + 44 + 27 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1300957 + ... + 2101403.

It is an arithmetic number, because the mean of its divisors is an integer number (30933046144).

Almost surely, 21361704427460 is an apocalyptic number.

1361704427460 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 1361704427460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227179322368).

1361704427460 is an abundant number, since it is smaller than the sum of its proper divisors (3092654217276).

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

1361704427460 is a wasteful number, since it uses less digits than its factorization.

1361704427460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801202 (or 801197 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 1361704427460 in words is "one trillion, three hundred sixty-one billion, seven hundred four million, four hundred twenty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 727 780 1170 1454 2181 2340 2908 3635 4362 6543 7270 8724 9451 10905 13086 14540 18902 21810 26172 28353 32715 37804 43620 47255 56706 65430 85059 94510 113412 130860 141765 170118 189020 283530 340236 425295 567060 800447 850590 1600894 1701180 2401341 3201788 4002235 4802682 7204023 8004470 9605364 10405811 12006705 14408046 16008940 20811622 24013410 28816092 31217433 36020115 41623244 48026820 52029055 62434866 72040230 93652299 104058110 124869732 144080460 156087165 187304598 208116220 312174330 374609196 468261495 581924969 624348660 936522990 1163849938 1745774907 1873045980 2327699876 2909624845 3491549814 5237324721 5819249690 6983099628 7565024597 8728874535 10474649442 11638499380 15130049194 17457749070 20949298884 22695073791 26186623605 30260098388 34915498140 37825122985 45390147582 52373247210 68085221373 75650245970 90780295164 104746494420 113475368955 136170442746 151300491940 226950737910 272340885492 340426106865 453901475820 680852213730 1361704427460