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40137423168330 = 23252924236346811
BaseRepresentation
bin10010010000001001110001…
…10110011010001101001010
312021010002201000212021112200
421020010320312122031022
520230102420312341310
6221210513323421030
711311555522515165
oct1110047066321512
9167102630767480
1040137423168330
1111875204aa8464
124602a99984776
131951c34339097
149ca9397b6adc
154990ee5d79c0
hex248138d9a34a

40137423168330 has 96 divisors (see below), whose sum is σ = 108000399461760. Its totient is φ = 10329966407040.

The previous prime is 40137423168319. The next prime is 40137423168419. The reversal of 40137423168330 is 3386132473104.

40137423168330 is a `hidden beast` number, since 4 + 0 + 1 + 37 + 423 + 168 + 3 + 30 = 666.

It is a super-2 number, since 2×401374231683302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3150625 + ... + 9497435.

It is an arithmetic number, because the mean of its divisors is an integer number (1125004161060).

Almost surely, 240137423168330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40137423168330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54000199730880).

40137423168330 is an abundant number, since it is smaller than the sum of its proper divisors (67862976293430).

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

40137423168330 is a wasteful number, since it uses less digits than its factorization.

40137423168330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349276 (or 6349273 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 40137423168330 in words is "forty trillion, one hundred thirty-seven billion, four hundred twenty-three million, one hundred sixty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2423 2610 4846 7269 12115 14538 21807 24230 36345 43614 70267 72690 109035 140534 210801 218070 351335 421602 632403 702670 1054005 1264806 2108010 3162015 6324030 6346811 12693622 19040433 31734055 38080866 57121299 63468110 95202165 114242598 184057519 190404330 285606495 368115038 552172557 571212990 920287595 1104345114 1656517671 1840575190 2760862785 3313035342 5521725570 8282588355 15378323053 16565176710 30756646106 46134969159 76891615265 92269938318 138404907477 153783230530 230674845795 276809814954 445971368537 461349691590 692024537385 891942737074 1337914105611 1384049074770 2229856842685 2675828211222 4013742316833 4459713685370 6689570528055 8027484633666 13379141056110 20068711584165 40137423168330