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1342311640650 = 234522153153941
BaseRepresentation
bin10011100010001000000…
…000100010111001001010
311202022202000011111120000
4103202020000202321022
5133443023240000100
62504352140543430
7165656506455321
oct23421000427112
94668660144500
101342311640650
114782a8a22052
12198195551b76
139976c0693b6
1448d7ab750b8
1524db382c900
hex13888022e4a

1342311640650 has 120 divisors (see below), whose sum is σ = 3731394288204. Its totient is φ = 357781190400.

The previous prime is 1342311640639. The next prime is 1342311640679. The reversal of 1342311640650 is 560461132431.

1342311640650 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 3 + 1 + 1 + 640 + 6 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 109818669321 + 1232492971329 = 331389^2 + 1110177^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8642680 + ... + 8796620.

Almost surely, 21342311640650 is an apocalyptic number.

1342311640650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342311640650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865697144102).

1342311640650 is an abundant number, since it is smaller than the sum of its proper divisors (2389082647554).

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

1342311640650 is a wasteful number, since it uses less digits than its factorization.

1342311640650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156118 (or 156104 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1342311640650 in words is "one trillion, three hundred forty-two billion, three hundred eleven million, six hundred forty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 2153 4050 4306 6459 10765 12918 19377 21530 32295 38754 53825 58131 64590 96885 107650 116262 153941 161475 174393 193770 290655 307882 322950 348786 461823 484425 581310 769705 871965 923646 968850 1385469 1453275 1539410 1743930 2309115 2770938 2906550 3848525 4156407 4359825 4618230 6927345 7697050 8312814 8719650 11545575 12469221 13854690 20782035 23091150 24938442 34636725 41564070 62346105 69273450 103910175 124692210 207820350 311730525 331434973 623461050 662869946 994304919 1657174865 1988609838 2982914757 3314349730 4971524595 5965829514 8285874325 8948744271 9943049190 14914573785 16571748650 17897488542 24857622975 26846232813 29829147570 44743721355 49715245950 53692465626 74572868925 89487442710 134231164065 149145737850 223718606775 268462328130 447437213550 671155820325 1342311640650