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100400142414 = 231113611918303
BaseRepresentation
bin101110110000001010…
…0001001100001001110
3100121011001120200110010
41131200110021201032
53121104414024124
6114042335254050
710153003062315
oct1354024114116
9317131520403
10100400142414
1139641299010
121755b97a326
1396106a0ac0
144c0626127c
15292942a529
hex176050984e

100400142414 has 64 divisors (see below), whose sum is σ = 239772653568. Its totient is φ = 27623548800.

The previous prime is 100400142397. The next prime is 100400142443. The reversal of 100400142414 is 414241004001.

It is a Curzon number.

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, 906814 + ... + 1011489.

It is an arithmetic number, because the mean of its divisors is an integer number (3746447712).

Almost surely, 2100400142414 is an apocalyptic number.

100400142414 is an abundant number, since it is smaller than the sum of its proper divisors (139372511154).

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

100400142414 is a wasteful number, since it uses less digits than its factorization.

100400142414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918393.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 100400142414 its reverse (414241004001), we get a palindrome (514641146415).

The spelling of 100400142414 in words is "one hundred billion, four hundred million, one hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 61 66 78 122 143 183 286 366 429 671 793 858 1342 1586 2013 2379 4026 4758 8723 17446 26169 52338 1918303 3836606 5754909 11509818 21101333 24937939 42202666 49875878 63303999 74813817 117016483 126607998 149627634 234032966 274317329 351049449 548634658 702098898 822951987 1287181313 1521214279 1645903974 2574362626 3042428558 3861543939 4563642837 7723087878 9127285674 16733357069 33466714138 50200071207 100400142414