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40563613964944 = 24729113688316057
BaseRepresentation
bin10010011100100011100111…
…10011010001101010010000
312022121211210000000222012201
421032101303303101222100
520304043240133334234
6222134400023332544
711354424111514630
oct1116216363215220
9168554700028181
1040563613964944
1111a19a28656a14
1246716002b1154
131983194b01cc5
14a0340a1386c0
154a52454c2314
hex24e473cd1a90

40563613964944 has 160 divisors (see below), whose sum is σ = 93758381579520. Its totient is φ = 16632951422976.

The previous prime is 40563613964851. The next prime is 40563613965001. The reversal of 40563613964944 is 44946931636504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2526218164 + ... + 2526234220.

It is an arithmetic number, because the mean of its divisors is an integer number (585989884872).

Almost surely, 240563613964944 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 40563613964944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46879190789760).

40563613964944 is an abundant number, since it is smaller than the sum of its proper divisors (53194767614576).

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

40563613964944 is a wasteful number, since it uses less digits than its factorization.

40563613964944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23097 (or 23091 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 64.

The spelling of 40563613964944 in words is "forty trillion, five hundred sixty-three billion, six hundred thirteen million, nine hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 113 116 203 226 232 406 452 464 791 812 904 1582 1624 1808 3164 3248 3277 6328 6554 6883 12656 13108 13766 16057 22939 26216 27532 32114 45878 48181 52432 55064 64228 91756 96362 110128 112399 128456 183512 192724 199607 224798 256912 367024 385448 399214 449596 465653 770896 777779 798428 899192 931306 1397249 1555558 1596856 1798384 1814441 1862612 2794498 3111116 3193712 3259571 3628882 3725224 5444453 5588996 6222232 6519142 7257764 7450448 10888906 11177992 12444464 12701087 13038284 14515528 21777812 22355984 22555591 25402174 26076568 29031056 43555624 45111182 50804348 52153136 52618789 87111248 90222364 101608696 105237578 110520331 157889137 180444728 203217392 210475156 221040662 315778274 360889456 368331523 420950312 442081324 631556548 736663046 773642317 841900624 884162648 1263113096 1473326092 1547284634 1768325296 2526226192 2946652184 3094569268 3205089599 5893304368 6189138536 6410179198 12378277072 12488797403 12820358396 22435627193 24977594806 25640716792 44871254386 49955189612 51281433584 87421581821 89742508772 99910379224 174843163642 179485017544 199820758448 349686327284 358970035088 362175124687 699372654568 724350249374 1398745309136 1448700498748 2535225872809 2897400997496 5070451745618 5794801994992 10140903491236 20281806982472 40563613964944