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3540418250440 = 2352321611780787
BaseRepresentation
bin110011100001010001010…
…111110100011011001000
3110112110102211112211221011
4303201101113310123020
5431001234033003230
611310240134053304
7513533602410331
oct63412127643310
913473384484834
103540418250440
111145534892a35
124921a6aaa234
131c8b245917a6
14c350007d288
1562163929e2a
hex338515f46c8

3540418250440 has 64 divisors (see below), whose sum is σ = 8316137496960. Its totient is φ = 1353967211520.

The previous prime is 3540418250431. The next prime is 3540418250441. The reversal of 3540418250440 is 440528140453.

It is a happy number.

It is a super-2 number, since 2×35404182504402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3540418250393 and 3540418250402.

It is not an unprimeable number, because it can be changed into a prime (3540418250441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1097727 + ... + 2878513.

It is an arithmetic number, because the mean of its divisors is an integer number (129939648390).

Almost surely, 23540418250440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3540418250440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158068748480).

3540418250440 is an abundant number, since it is smaller than the sum of its proper divisors (4775719246520).

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

3540418250440 is a wasteful number, since it uses less digits than its factorization.

3540418250440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782982 (or 1782978 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 3540418250440 in words is "three trillion, five hundred forty billion, four hundred eighteen million, two hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 2161 4322 8644 10805 17288 21610 43220 49703 86440 99406 198812 248515 397624 497030 994060 1780787 1988120 3561574 7123148 8903935 14246296 17807870 35615740 40958101 71231480 81916202 163832404 204790505 327664808 409581010 819162020 1638324040 3848280707 7696561414 15393122828 19241403535 30786245656 38482807070 76965614140 88510456261 153931228280 177020912522 354041825044 442552281305 708083650088 885104562610 1770209125220 3540418250440