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1422345454440 = 233519163198347
BaseRepresentation
bin10100101100101010011…
…001010100001101101000
312000222022200220111100120
4110230222121110031220
5141300430414020230
63005225543203240
7204522021611361
oct24545231241550
95028280814316
101422345454440
114a9238a23a09
121ab7b0746520
13a41851b0071
144cbb01d2b68
1526ee9c7a310
hex14b2a654368

1422345454440 has 128 divisors (see below), whose sum is σ = 4296218296320. Its totient is φ = 376704518400.

The previous prime is 1422345454381. The next prime is 1422345454447. The reversal of 1422345454440 is 444545432241.

It is a super-2 number, since 2×14223454544402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1422345454392 and 1422345454401.

It is not an unprimeable number, because it can be changed into a prime (1422345454447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14413347 + ... + 14511693.

It is an arithmetic number, because the mean of its divisors is an integer number (33564205440).

Almost surely, 21422345454440 is an apocalyptic number.

1422345454440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422345454440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148109148160).

1422345454440 is an abundant number, since it is smaller than the sum of its proper divisors (2873872841880).

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

1422345454440 is a wasteful number, since it uses less digits than its factorization.

1422345454440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99183 (or 99179 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 42.

The spelling of 1422345454440 in words is "one trillion, four hundred twenty-two billion, three hundred forty-five million, four hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 631 764 955 1146 1262 1528 1893 1910 2292 2524 2865 3155 3786 3820 4584 5048 5730 6310 7572 7640 9465 11460 12620 15144 18930 22920 25240 37860 75720 98347 120521 196694 241042 295041 361563 393388 482084 491735 590082 602605 723126 786776 964168 983470 1180164 1205210 1446252 1475205 1807815 1966940 2360328 2410420 2892504 2950410 3615630 3933880 4820840 5900820 7231260 11801640 14462520 18784277 37568554 56352831 62056957 75137108 93921385 112705662 124113914 150274216 186170871 187842770 225411324 248227828 281764155 310284785 372341742 375685540 450822648 496455656 563528310 620569570 744683484 751371080 930854355 1127056620 1241139140 1489366968 1861708710 2254113240 2482278280 3723417420 7446834840 11852878787 23705757574 35558636361 47411515148 59264393935 71117272722 94823030296 118528787870 142234545444 177793181805 237057575740 284469090888 355586363610 474115151480 711172727220 1422345454440