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10402330143432 = 2334125761367103
BaseRepresentation
bin1001011101011111101100…
…1100010110101011001000
31100211110020021101011200210
42113113323030112223020
52330412433004042212
634042433044201120
72122354303213353
oct227277314265310
940743207334623
1010402330143432
1133506701a5697
12120005b3991a0
135a5c21464056
1427d69296929a
151308c61b453c
hex975fb316ac8

10402330143432 has 128 divisors (see below), whose sum is σ = 26787798696960. Its totient is φ = 3364161454080.

The previous prime is 10402330143407. The next prime is 10402330143437. The reversal of 10402330143432 is 23434103320401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10402330143432.

It is not an unprimeable number, because it can be changed into a prime (10402330143437) 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, 154986793 + ... + 155053895.

It is an arithmetic number, because the mean of its divisors is an integer number (209279677320).

Almost surely, 210402330143432 is an apocalyptic number.

10402330143432 is a gapful number since it is divisible by the number (12) 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 10402330143432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13393899348480).

10402330143432 is an abundant number, since it is smaller than the sum of its proper divisors (16385468553528).

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

10402330143432 is a wasteful number, since it uses less digits than its factorization.

10402330143432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68023 (or 68019 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 10402330143432 its reverse (23434103320401), we get a palindrome (33836433463833).

The spelling of 10402330143432 in words is "ten trillion, four hundred two billion, three hundred thirty million, one hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 257 328 492 514 613 771 984 1028 1226 1542 1839 2056 2452 3084 3678 4904 6168 7356 10537 14712 21074 25133 31611 42148 50266 63222 67103 75399 84296 100532 126444 134206 150798 157541 201064 201309 252888 268412 301596 315082 402618 472623 536824 603192 630164 805236 945246 1260328 1610472 1890492 2751223 3780984 5502446 6459181 8253669 11004892 12918362 16507338 17245471 19377543 22009784 25836724 33014676 34490942 38755086 41134139 51673448 51736413 66029352 68981884 77510172 82268278 103472826 123402417 137963768 155020344 164536556 206945652 246804834 329073112 413891304 493609668 707064311 987219336 1414128622 1686499699 2121192933 2828257244 3372999398 4242385866 5059499097 5656514488 6745998796 8484771732 10118998194 10571473723 13491997592 16969543464 20237996388 21142947446 31714421169 40475992776 42285894892 63428842338 84571789784 126857684676 253715369352 433430422643 866860845286 1300291267929 1733721690572 2600582535858 3467443381144 5201165071716 10402330143432