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1446420461640 = 2335711156539011
BaseRepresentation
bin10101000011000101011…
…000001011100001001000
312010021110112021120120220
4111003011120023201020
5142144232114233030
63024250522150040
7206333435031630
oct25030530134110
95107415246526
101446420461640
11508472708180
121b43ab352320
13a6520bac05b
14500157956c0
1527958635a10
hex150c560b848

1446420461640 has 128 divisors (see below), whose sum is σ = 5409988254720. Its totient is φ = 300554899200.

The previous prime is 1446420461621. The next prime is 1446420461677. The reversal of 1446420461640 is 461640246441.

It is a super-2 number, since 2×14464204616402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1446420461592 and 1446420461601.

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, 78260266 + ... + 78278745.

It is an arithmetic number, because the mean of its divisors is an integer number (42265533240).

Almost surely, 21446420461640 is an apocalyptic number.

1446420461640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1446420461640 is an abundant number, since it is smaller than the sum of its proper divisors (3963567793080).

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

1446420461640 is a wasteful number, since it uses less digits than its factorization.

1446420461640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156539043 (or 156539039 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 1446420461640 in words is "one trillion, four hundred forty-six billion, four hundred twenty million, four hundred sixty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 156539011 313078022 469617033 626156044 782695055 939234066 1095773077 1252312088 1565390110 1721929121 1878468132 2191546154 2348085165 3130780220 3287319231 3443858242 3756936264 4383092308 4696170330 5165787363 5478865385 6261560440 6574638462 6887716484 8609645605 8766184616 9392340660 10331574726 10957730770 12053503847 13149276924 13775432968 16436596155 17219291210 18784681320 20663149452 21915461540 24107007694 25828936815 26298553848 32873192310 34438582420 36160511541 41326298904 43830923080 48214015388 51657873630 60267519235 65746384620 68877164840 72321023082 96428030776 103315747260 120535038470 131492769240 144642046164 180802557705 206631494520 241070076940 289284092328 361605115410 482140153880 723210230820 1446420461640