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1406114321460 = 2235297311070023
BaseRepresentation
bin10100011101100010111…
…100011101010000110100
311222102102112011111201020
4110131202330131100310
5141014210231241320
62553543205501140
7203405552346102
oct24354274352064
94872375144636
101406114321460
114a2369971522
121a8620a117b0
13a279958bc74
144c0b0696c72
1526899d2a940
hex14762f1d434

1406114321460 has 96 divisors (see below), whose sum is σ = 4128676151040. Its totient is φ = 357074629632.

The previous prime is 1406114321441. The next prime is 1406114321471. The reversal of 1406114321460 is 641234116041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5407992 + ... + 5662031.

It is an arithmetic number, because the mean of its divisors is an integer number (43007043240).

Almost surely, 21406114321460 is an apocalyptic number.

1406114321460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1406114321460 is an abundant number, since it is smaller than the sum of its proper divisors (2722561829580).

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

1406114321460 is a wasteful number, since it uses less digits than its factorization.

1406114321460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11070137 (or 11070135 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 1406114321460 in words is "one trillion, four hundred six billion, one hundred fourteen million, three hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 73 87 116 145 146 174 219 290 292 348 365 435 438 580 730 870 876 1095 1460 1740 2117 2190 4234 4380 6351 8468 10585 12702 21170 25404 31755 42340 63510 127020 11070023 22140046 33210069 44280092 55350115 66420138 110700230 132840276 166050345 221400460 321030667 332100690 642061334 664201380 808111679 963092001 1284122668 1605153335 1616223358 1926184002 2424335037 3210306670 3232446716 3852368004 4040558395 4815460005 4848670074 6420613340 8081116790 9630920010 9697340148 12121675185 16162233580 19261840020 23435238691 24243350370 46870477382 48486700740 70305716073 93740954764 117176193455 140611432146 234352386910 281222864292 351528580365 468704773820 703057160730 1406114321460