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1401032170304 = 261313721415741
BaseRepresentation
bin10100011000110100000…
…001100101101101000000
311221221022100012110221122
4110120310001211231000
5140423303213422204
62551343021411412
7203135611645634
oct24306401455500
94857270173848
101401032170304
114a01a11540a8
121a7642a09b68
13a21696c8b30
144bb4b72cdc4
152669da980be
hex14634065b40

1401032170304 has 112 divisors (see below), whose sum is σ = 3017821148496. Its totient is φ = 641498726400.

The previous prime is 1401032170277. The next prime is 1401032170319. The reversal of 1401032170304 is 4030712301041.

It can be written as a sum of positive squares in 8 ways, for example, as 24633930304 + 1376398240000 = 156952^2 + 1173200^2 .

It is a super-2 number, since 2×14010321703042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244036874 + ... + 244042614.

It is an arithmetic number, because the mean of its divisors is an integer number (26944831683).

Almost surely, 21401032170304 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 1401032170304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508910574248).

1401032170304 is an abundant number, since it is smaller than the sum of its proper divisors (1616788978192).

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

1401032170304 is a wasteful number, since it uses less digits than its factorization.

1401032170304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 1401032170304 its reverse (4030712301041), we get a palindrome (5431744471345).

The spelling of 1401032170304 in words is "one trillion, four hundred one billion, thirty-two million, one hundred seventy thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 137 208 274 416 548 832 1096 1781 2141 2192 3562 4282 4384 5741 7124 8564 8768 11482 14248 17128 22964 27833 28496 34256 45928 55666 56992 68512 74633 91856 111332 113984 137024 149266 183712 222664 293317 298532 367424 445328 586634 597064 786517 890656 1173268 1194128 1573034 1781312 2346536 2388256 3146068 3813121 4693072 4776512 6292136 7626242 9386144 10224721 12291481 12584272 15252484 18772288 20449442 24582962 25168544 30504968 40898884 49165924 50337088 61009936 81797768 98331848 122019872 159789253 163595536 196663696 244039744 319578506 327191072 393327392 639157012 654382144 786654784 1278314024 1683932897 2556628048 3367865794 5113256096 6735731588 10226512192 13471463176 21891127661 26942926352 43782255322 53885852704 87564510644 107771705408 175129021288 350258042576 700516085152 1401032170304