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14421601215632 = 24131947653118901
BaseRepresentation
bin1101000111011100101001…
…1010101110010010010000
31220001200200011222202220202
43101313022122232102100
53342240414402400012
650401105300154332
73015632502510452
oct321671232562220
956050604882822
1014421601215632
114660191a09006
12174b0050989a8
13807c4990a090
1437c01b4462d2
151a0213e01cc2
hexd1dca6ae490

14421601215632 has 160 divisors (see below), whose sum is σ = 32398721349120. Its totient is φ = 6162132326400.

The previous prime is 14421601215521. The next prime is 14421601215643. The reversal of 14421601215632 is 23651210612441.

It is a super-2 number, since 2×144216012156322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 121231382 + ... + 121350282.

It is an arithmetic number, because the mean of its divisors is an integer number (202492008432).

Almost surely, 214421601215632 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 14421601215632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199360674560).

14421601215632 is an abundant number, since it is smaller than the sum of its proper divisors (17977120133488).

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

14421601215632 is a wasteful number, since it uses less digits than its factorization.

14421601215632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119641 (or 119635 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 14421601215632 in words is "fourteen trillion, four hundred twenty-one billion, six hundred one million, two hundred fifteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 47 52 76 94 104 152 188 208 247 304 376 494 611 653 752 893 988 1222 1306 1786 1976 2444 2612 3572 3952 4888 5224 7144 8489 9776 10448 11609 12407 14288 16978 23218 24814 30691 33956 46436 49628 61382 67912 92872 99256 118901 122764 135824 161291 185744 198512 237802 245528 322582 398983 475604 491056 583129 645164 797966 951208 1166258 1290328 1545713 1595932 1902416 2259119 2332516 2580656 3091426 3191864 4518238 4665032 5588347 6182852 6383728 7580677 9036476 9330064 11176694 12365704 15161354 18072952 22353388 24731408 29368547 30322708 36145904 44706776 58737094 60645416 72648511 77642353 89413552 106178593 117474188 121290832 145297022 155284706 212357186 234948376 290594044 310569412 424714372 469896752 581188088 621138824 849428744 1009350589 1162376176 1242277648 1380321709 1475204707 1698857488 2018701178 2760643418 2950409414 3649190591 4037402356 5521286836 5900818828 7298381182 8074804712 11042573672 11801637656 14596762364 16149609424 19177661191 22085147344 23603275312 29193524728 38355322382 47439477683 58387049456 69334621229 76710644764 94878955366 138669242458 153421289528 189757910732 277338484916 306842579056 379515821464 554676969832 759031642928 901350075977 1109353939664 1802700151954 3605400303908 7210800607816 14421601215632