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1114400421400 = 235276831165447
BaseRepresentation
bin10000001101110111011…
…100001111011000011000
310221112110110222222012111
4100031313130033120120
5121224243001441100
62211540512322104
7143340611201260
oct20156734173030
93845413888174
101114400421400
1139a683a92802
1215bb8a543334
138111a345496
143bd19c147a0
151dec4d2c6ba
hex1037770f618

1114400421400 has 96 divisors (see below), whose sum is σ = 2965459127040. Its totient is φ = 381520402560.

The previous prime is 1114400421397. The next prime is 1114400421413. The reversal of 1114400421400 is 41240044111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373477 + ... + 1538923.

It is an arithmetic number, because the mean of its divisors is an integer number (30890199240).

Almost surely, 21114400421400 is an apocalyptic number.

1114400421400 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 1114400421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482729563520).

1114400421400 is an abundant number, since it is smaller than the sum of its proper divisors (1851058705640).

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

1114400421400 is a wasteful number, since it uses less digits than its factorization.

1114400421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166153 (or 1166144 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1114400421400 its reverse (41240044111), we get a palindrome (1155640465511).

The spelling of 1114400421400 in words is "one trillion, one hundred fourteen billion, four hundred million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 683 700 1366 1400 2732 3415 4781 5464 6830 9562 13660 17075 19124 23905 27320 34150 38248 47810 68300 95620 119525 136600 191240 239050 478100 956200 1165447 2330894 4661788 5827235 8158129 9323576 11654470 16316258 23308940 29136175 32632516 40790645 46617880 58272350 65265032 81581290 116544700 163162580 203953225 233089400 326325160 407906450 796000301 815812900 1592000602 1631625800 3184001204 3980001505 5572002107 6368002408 7960003010 11144004214 15920006020 19900007525 22288008428 27860010535 31840012040 39800015050 44576016856 55720021070 79600030100 111440042140 139300052675 159200060200 222880084280 278600105350 557200210700 1114400421400