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640321421321442 = 23767293857906203
BaseRepresentation
bin1001000110010111100111001…
…0110111000010010011100010
310002222012010111210202002111110
42101211321302313002103202
51132412011232324241232
610145503333335124150
7251605460512430460
oct22145716267022342
93088163453662443
10640321421321442
11176031876211153
125b9966b8513656
132163a087bb3103
14b419a17833830
154e06369ebbacc
hex2465e72dc24e2

640321421321442 has 128 divisors (see below), whose sum is σ = 1492247083751424. Its totient is φ = 179393545824768.

The previous prime is 640321421321429. The next prime is 640321421321473. The reversal of 640321421321442 is 244123124123046.

It is a super-2 number, since 2×6403214213214422 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 640321421321442.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 706145113 + ... + 707051315.

It is an arithmetic number, because the mean of its divisors is an integer number (11658180341808).

Almost surely, 2640321421321442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640321421321442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746123541875712).

640321421321442 is an abundant number, since it is smaller than the sum of its proper divisors (851925662429982).

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

640321421321442 is a wasteful number, since it uses less digits than its factorization.

640321421321442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907432.

The product of its (nonzero) digits is 221184, while the sum is 39.

Adding to 640321421321442 its reverse (244123124123046), we get a palindrome (884444545444488).

The spelling of 640321421321442 in words is "six hundred forty trillion, three hundred twenty-one billion, four hundred twenty-one million, three hundred twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 293 402 469 586 857 879 938 1407 1714 1758 2051 2571 2814 4102 5142 5999 6153 11998 12306 17997 19631 35994 39262 57419 58893 114838 117786 137417 172257 251101 274834 344514 401933 412251 502202 753303 803866 824502 906203 1205799 1506606 1757707 1812406 2411598 2718609 3515414 5273121 5437218 6343421 10546242 12686842 16823767 19030263 33647534 38060526 50471301 60715601 100942602 117766369 121431202 182146803 235532738 265517479 353299107 364293606 425009207 531034958 706598214 776615971 796552437 850018414 1275027621 1553231942 1593104874 1858622353 2329847913 2550055242 3717244706 4659695826 5436311797 5575867059 10872623594 11151734118 16308935391 17789671093 32617870782 35579342186 52033270057 53369013279 104066540114 106738026558 124527697651 156099810171 227548479503 249055395302 312199620342 364232890399 373583092953 455096959006 682645438509 728465780798 747166185906 1092698671197 1365290877018 1592839356521 2185397342394 3185678713042 4778518069563 9557036139126 15245748126701 30491496253402 45737244380103 91474488760206 106720236886907 213440473773814 320160710660721 640321421321442