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740430461771776 = 213586915400337
BaseRepresentation
bin1010100001011010101110011…
…0101001111010000000000000
310121002122110102221220102110201
42220112223212221322000000
51234022203041203144101
611142433020333134544
7311650223042254426
oct25026534651720000
93532573387812421
10740430461771776
111a4a18882762586
126b06447362a454
1325a1c3a67ac589
14d0bb05020b116
155a904674e2e01
hex2a16ae6a7a000

740430461771776 has 56 divisors (see below), whose sum is σ = 1481022938854980. Its totient is φ = 370152127070208.

The previous prime is 740430461771731. The next prime is 740430461771779. The reversal of 740430461771776 is 677177164034047.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 705403003211776 + 35027458560000 = 26559424^2 + 5918400^2 .

It is a super-2 number, since 2×7404304617717762 (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (740430461771779) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40378680 + ... + 55779016.

Almost surely, 2740430461771776 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 740430461771776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740511469427490).

740430461771776 is an abundant number, since it is smaller than the sum of its proper divisors (740592477083204).

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

740430461771776 is an equidigital number, since it uses as much as digits as its factorization.

740430461771776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15406232 (or 15406208 counting only the distinct ones).

The product of its (nonzero) digits is 116169984, while the sum is 64.

The spelling of 740430461771776 in words is "seven hundred forty trillion, four hundred thirty billion, four hundred sixty-one million, seven hundred seventy-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5869 8192 11738 23476 46952 93904 187808 375616 751232 1502464 3004928 6009856 12019712 15400337 24039424 30800674 48078848 61601348 123202696 246405392 492810784 985621568 1971243136 3942486272 7884972544 15769945088 31539890176 63079780352 90384577853 126159560704 180769155706 361538311412 723076622824 1446153245648 2892306491296 5784612982592 11569225965184 23138451930368 46276903860736 92553807721472 185107615442944 370215230885888 740430461771776