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4011342426 = 23571326977
BaseRepresentation
bin1110111100011000…
…0011101001011010
3101100120001022100000
43233012003221122
531203400424201
61502012553430
7201255563610
oct35706035132
911316038300
104011342426
111779330a33
1293b482876
134bc093300
142a0a676b0
15187265d86
hexef183a5a

4011342426 has 144 divisors (see below), whose sum is σ = 11155644864. Its totient is φ = 1057784832.

The previous prime is 4011342403. The next prime is 4011342427. The reversal of 4011342426 is 6242431104.

It is a happy number.

4011342426 is a `hidden beast` number, since 401 + 13 + 4 + 242 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4011342426.

It is not an unprimeable number, because it can be changed into a prime (4011342427) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 571450 + ... + 578426.

It is an arithmetic number, because the mean of its divisors is an integer number (77469756).

Almost surely, 24011342426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011342426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577822432).

4011342426 is an abundant number, since it is smaller than the sum of its proper divisors (7144302438).

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

4011342426 is a wasteful number, since it uses less digits than its factorization.

4011342426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7027 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4011342426 is about 63335.1594771814. The cubic root of 4011342426 is about 1588.9000509164.

The spelling of 4011342426 in words is "four billion, eleven million, three hundred forty-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 169 182 189 234 243 273 338 351 378 486 507 546 567 702 819 1014 1053 1134 1183 1521 1638 1701 2106 2366 2457 3042 3159 3402 3549 4563 4914 6318 6977 7098 7371 9126 10647 13689 13954 14742 20931 21294 22113 27378 31941 41067 41862 44226 48839 62793 63882 82134 90701 95823 97678 125586 146517 181402 188379 191646 272103 287469 293034 376758 439551 544206 565137 574938 634907 816309 879102 1130274 1179113 1269814 1318653 1632618 1695411 1904721 2358226 2448927 2637306 3390822 3537339 3809442 3955959 4897854 5714163 7074678 7346781 7911918 8253791 10612017 11428326 11867877 14693562 16507582 17142489 21224034 22040343 23735754 24761373 31836051 34284978 44080686 49522746 51427467 63672102 74284119 95508153 102854934 148568238 154282401 191016306 222852357 286524459 308564802 445704714 573048918 668557071 1337114142 2005671213 4011342426