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3445723837940 = 2254092731154243
BaseRepresentation
bin110010001001000101001…
…001010011010111110100
3110012102000102022021111012
4302021011021103113310
5422423320300303230
611154535500131352
7503642151240056
oct62110511232764
913172012267435
103445723837940
11110936130529a
12477979b36b58
131bcc13016a47
14bcab99098d6
155e9703ab395
hex322452535f4

3445723837940 has 48 divisors (see below), whose sum is σ = 7256415149760. Its totient is φ = 1374407274240.

The previous prime is 3445723837937. The next prime is 3445723837943. The reversal of 3445723837940 is 497383275443.

It is an interprime number because it is at equal distance from previous prime (3445723837937) and next prime (3445723837943).

It is a super-3 number, since 3×34457238379403 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3445723837940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3445723837943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22262459 + ... + 22416701.

It is an arithmetic number, because the mean of its divisors is an integer number (151175315620).

Almost surely, 23445723837940 is an apocalyptic number.

It is an amenable number.

3445723837940 is an abundant number, since it is smaller than the sum of its proper divisors (3810691311820).

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

3445723837940 is a wasteful number, since it uses less digits than its factorization.

3445723837940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157392 (or 157390 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 59.

The spelling of 3445723837940 in words is "three trillion, four hundred forty-five billion, seven hundred twenty-three million, eight hundred thirty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 409 818 1636 2045 2731 4090 5462 8180 10924 13655 27310 54620 154243 308486 616972 771215 1116979 1542430 2233958 3084860 4467916 5584895 11169790 22339580 63085387 126170774 252341548 315426935 421237633 630853870 842475266 1261707740 1684950532 2106188165 4212376330 8424752660 172286191897 344572383794 689144767588 861430959485 1722861918970 3445723837940