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10414420002 = 2327434873947
BaseRepresentation
bin10011011001011111…
…10111000000100010
3222212210120100111100
421230233313000202
5132312042420002
64441225055230
7516036052350
oct115457670042
928783510440
1010414420002
114464739988
122027927516
13c9c80a3cc
1470b1dc7d0
1540e46e11c
hex26cbf7022

10414420002 has 96 divisors (see below), whose sum is σ = 26448694272. Its totient is φ = 2899647072.

The previous prime is 10414419931. The next prime is 10414420013. The reversal of 10414420002 is 20002441401.

10414420002 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 (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2636593 + ... + 2640539.

It is an arithmetic number, because the mean of its divisors is an integer number (275507232).

Almost surely, 210414420002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10414420002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13224347136).

10414420002 is an abundant number, since it is smaller than the sum of its proper divisors (16034274270).

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

10414420002 is a wasteful number, since it uses less digits than its factorization.

10414420002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10414420002 its reverse (20002441401), we get a palindrome (30416861403).

The spelling of 10414420002 in words is "ten billion, four hundred fourteen million, four hundred twenty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 487 602 774 903 974 1461 1806 2709 2922 3409 3947 4383 5418 6818 7894 8766 10227 11841 20454 20941 23682 27629 30681 35523 41882 55258 61362 62823 71046 82887 125646 146587 165774 169721 188469 248661 293174 339442 376938 439761 497322 509163 879522 1018326 1188047 1319283 1527489 1922189 2376094 2638566 3054978 3564141 3844378 5766567 7128282 10692423 11533134 13455323 17299701 21384846 26910646 34599402 40365969 80731938 82654127 121097907 165308254 242195814 247962381 495924762 578578889 743887143 1157157778 1487774286 1735736667 3471473334 5207210001 10414420002