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40160583046452 = 223112107934127673
BaseRepresentation
bin10010010000110100111010…
…10010010101010100110100
312021012022111002020222200110
421020122131102111110310
520230442333224441302
6221225303412143020
711313335454315561
oct1110323522252464
9167168432228613
1040160583046452
111188400a166700
124607482007a70
13195418557538b
149cbad5601868
15499a07978b6c
hex24869d495534

40160583046452 has 144 divisors (see below), whose sum is σ = 103978902073536. Its totient is φ = 12054410227200.

The previous prime is 40160583046433. The next prime is 40160583046457. The reversal of 40160583046452 is 25464038506104.

It is a super-2 number, since 2×401605830464522 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40160583046457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451241288 + ... + 1451268960.

It is an arithmetic number, because the mean of its divisors is an integer number (722075708844).

Almost surely, 240160583046452 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 40160583046452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51989451036768).

40160583046452 is an abundant number, since it is smaller than the sum of its proper divisors (63818319027084).

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

40160583046452 is a wasteful number, since it uses less digits than its factorization.

40160583046452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37150 (or 37137 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 40160583046452 in words is "forty trillion, one hundred sixty billion, five hundred eighty-three million, forty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 121 132 214 242 321 363 428 484 642 726 1177 1284 1452 2354 3531 4708 7062 9341 12947 14124 18682 25894 27673 28023 37364 38841 51788 55346 56046 77682 83019 102751 110692 112092 155364 166038 205502 304403 308253 332076 411004 608806 616506 913209 999487 1130261 1217612 1233012 1826418 1998974 2260522 2961011 2998461 3348433 3390783 3652836 3997948 4521044 5922022 5996922 6696866 6781566 8883033 10045299 10994357 11844044 11993844 13393732 13563132 17766066 20090598 21988714 32571121 32983071 35532132 40181196 43977428 65142242 65966142 97713363 120937927 130284484 131932284 195426726 241875854 258493493 358282331 362813781 390853452 483751708 516986986 716564662 725627562 775480479 1033973972 1074846993 1433129324 1451255124 1550960958 2149693986 2843428423 3101921916 4299387972 5686856846 8530285269 11373713692 17060570538 27658803751 31277712653 34121141076 55317607502 62555425306 82976411253 93833137959 110635215004 125110850612 165952822506 187666275918 304246841261 331905645012 375332551836 608493682522 912740523783 1216987365044 1825481047566 3346715253871 3650962095132 6693430507742 10040145761613 13386861015484 20080291523226 40160583046452