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40342001826 = 23719731734003
BaseRepresentation
bin100101100100100100…
…100001100010100010
310212010111121000210210
4211210210201202202
51130110023024301
630311033034550
72625466233450
oct454444414242
9125114530723
1040342001826
1116122010085
12799a555a56
133a5bb980c9
141d49b959d0
1510b1a40ad6
hex9649218a2

40342001826 has 128 divisors (see below), whose sum is σ = 98986567680. Its totient is φ = 10705125888.

The previous prime is 40342001813. The next prime is 40342001851. The reversal of 40342001826 is 62810024304.

It is a super-2 number, since 2×403420018262 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40342001793 and 40342001802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10075941 + ... + 10079943.

It is an arithmetic number, because the mean of its divisors is an integer number (773332560).

Almost surely, 240342001826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40342001826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49493283840).

40342001826 is an abundant number, since it is smaller than the sum of its proper divisors (58644565854).

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

40342001826 is a wasteful number, since it uses less digits than its factorization.

40342001826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 40342001826 in words is "forty billion, three hundred forty-two million, one thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 73 114 133 146 173 219 266 346 399 438 511 519 798 1022 1038 1211 1387 1533 2422 2774 3066 3287 3633 4003 4161 6574 7266 8006 8322 9709 9861 12009 12629 19418 19722 23009 24018 25258 28021 29127 37887 46018 56042 58254 69027 75774 76057 84063 88403 138054 152114 168126 176806 228171 239951 265209 292219 456342 479902 530418 532399 584438 692519 719853 876657 1064798 1385038 1439706 1597197 1679657 1753314 2045533 2077557 3194394 3359314 4091066 4155114 4847633 5038971 5552161 6136599 9695266 10077942 11104322 12273198 13157861 14542899 16656483 26315722 29085798 33312966 38865127 39473583 50553887 77730254 78947166 92105027 101107774 116595381 151661661 184210054 233190762 276315081 303323322 353877209 552630162 707754418 960523853 1061631627 1921047706 2123263254 2881571559 5763143118 6723666971 13447333942 20171000913 40342001826