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921381940224 = 21032233429083
BaseRepresentation
bin11010110100001101010…
…01001010110000000000
310021002020200200012002100
431122012221022300000
5110043442234041344
61543135500350400
7123365463161454
oct15320651126000
93232220605070
10921381940224
113258350a2a79
1212a6a0b45400
1368b6955b245
143284903c664
1518e79771569
hexd686a4ac00

921381940224 has 132 divisors (see below), whose sum is σ = 2671894911816. Its totient is φ = 305808457728.

The previous prime is 921381940123. The next prime is 921381940229. The reversal of 921381940224 is 422049183129.

921381940224 is a `hidden beast` number, since 9 + 2 + 1 + 381 + 9 + 40 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 921381940224.

It is not an unprimeable number, because it can be changed into a prime (921381940229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1932787 + ... + 2361869.

Almost surely, 2921381940224 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 921381940224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335947455908).

921381940224 is an abundant number, since it is smaller than the sum of its proper divisors (1750512971592).

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

921381940224 is a wasteful number, since it uses less digits than its factorization.

921381940224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429342 (or 429321 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 921381940224 in words is "nine hundred twenty-one billion, three hundred eighty-one million, nine hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 233 256 288 384 466 512 576 699 768 932 1024 1152 1398 1536 1864 2097 2304 2796 3072 3728 4194 4608 5592 7456 8388 9216 11184 14912 16776 22368 29824 33552 44736 59648 67104 89472 119296 134208 178944 238592 268416 357888 429083 536832 715776 858166 1073664 1287249 1716332 2147328 2574498 3432664 3861747 5148996 6865328 7723494 10297992 13730656 15446988 20595984 27461312 30893976 41191968 54922624 61787952 82383936 99976339 109845248 123575904 164767872 199952678 219690496 247151808 299929017 329535744 399905356 439380992 494303616 599858034 659071488 799810712 899787051 988607232 1199716068 1318142976 1599621424 1799574102 1977214464 2399432136 3199242848 3599148204 3954428928 4798864272 6398485696 7198296408 9597728544 12796971392 14396592816 19195457088 25593942784 28793185632 38390914176 51187885568 57586371264 76781828352 102375771136 115172742528 153563656704 230345485056 307127313408 460690970112 921381940224