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3414403023420 = 22351091912733403
BaseRepresentation
bin110001101011111010010…
…001111000001000111100
3110002102011121200001012210
4301223322101320020330
5421420144133222140
611132315522300420
7501453042560034
oct61537221701074
913072147601183
103414403023420
1110a7049547814
124718987b7710
131b9c911098bc
14bb387cc28c4
155dc3a82ed80
hex31afa47823c

3414403023420 has 96 divisors (see below), whose sum is σ = 9698554736640. Its totient is φ = 897430544640.

The previous prime is 3414403023419. The next prime is 3414403023463. The reversal of 3414403023420 is 243203044143.

It is a happy number.

3414403023420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 117562 + ... + 2615841.

It is an arithmetic number, because the mean of its divisors is an integer number (101026611840).

Almost surely, 23414403023420 is an apocalyptic number.

3414403023420 is a gapful number since it is divisible by the number (30) 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 3414403023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849277368320).

3414403023420 is an abundant number, since it is smaller than the sum of its proper divisors (6284151713220).

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

3414403023420 is a wasteful number, since it uses less digits than its factorization.

3414403023420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733715 (or 2733713 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3414403023420 its reverse (243203044143), we get a palindrome (3657606067563).

The spelling of 3414403023420 in words is "three trillion, four hundred fourteen billion, four hundred three million, twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 191 218 327 382 436 545 573 654 764 955 1090 1146 1308 1635 1910 2180 2292 2865 3270 3820 5730 6540 11460 20819 41638 62457 83276 104095 124914 208190 249828 312285 416380 624570 1249140 2733403 5466806 8200209 10933612 13667015 16400418 27334030 32800836 41001045 54668060 82002090 164004180 297940927 522079973 595881854 893822781 1044159946 1191763708 1489704635 1566239919 1787645562 2088319892 2610399865 2979409270 3132479838 3575291124 4469113905 5220799730 5958818540 6264959676 7831199595 8938227810 10441599460 15662399190 17876455620 31324798380 56906717057 113813434114 170720151171 227626868228 284533585285 341440302342 569067170570 682880604684 853600755855 1138134341140 1707201511710 3414403023420