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10240241130432 = 263317933106511
BaseRepresentation
bin1001010100000011110111…
…1011110101101111000000
31100020221212000022011121000
42111000331323311233000
52320234003212133212
633440145110132000
72104555502303265
oct225007573655700
940227760264530
1010240241130432
113298953179105
121194764051000
1359385c485481
142758b782926c
1512b58b1301dc
hex9503def5bc0

10240241130432 has 112 divisors (see below), whose sum is σ = 30272594572800. Its totient is φ = 3394344257280.

The previous prime is 10240241130403. The next prime is 10240241130439. The reversal of 10240241130432 is 23403114204201.

10240241130432 is a `hidden beast` number, since 1 + 0 + 240 + 2 + 411 + 3 + 0 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10240241130396 and 10240241130405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240241130439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16243944 + ... + 16862567.

Almost surely, 210240241130432 is an apocalyptic number.

10240241130432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10240241130432 is an abundant number, since it is smaller than the sum of its proper divisors (20032353442368).

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

10240241130432 is a wasteful number, since it uses less digits than its factorization.

10240241130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33106711 (or 33106695 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10240241130432 its reverse (23403114204201), we get a palindrome (33643355334633).

The spelling of 10240241130432 in words is "ten trillion, two hundred forty billion, two hundred forty-one million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 179 192 216 288 358 432 537 576 716 864 1074 1432 1611 1728 2148 2864 3222 4296 4833 5728 6444 8592 9666 11456 12888 17184 19332 25776 34368 38664 51552 77328 103104 154656 309312 33106511 66213022 99319533 132426044 198639066 264852088 297958599 397278132 529704176 595917198 794556264 893875797 1059408352 1191834396 1589112528 1787751594 2118816704 2383668792 3178225056 3575503188 4767337584 5926065469 6356450112 7151006376 9534675168 11852130938 14302012752 17778196407 19069350336 23704261876 28604025504 35556392814 47408523752 53334589221 57208051008 71112785628 94817047504 106669178442 142225571256 160003767663 189634095008 213338356884 284451142512 320007535326 379268190016 426676713768 568902285024 640015070652 853353427536 1137804570048 1280030141304 1706706855072 2560060282608 3413413710144 5120120565216 10240241130432