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10342003322440 = 2354995577011327
BaseRepresentation
bin1001011001111110111101…
…1011110010111001001000
31100121200111222211010211101
42112133233123302321020
52323420410322304230
633555014543111144
72115120324540646
oct226375733627110
940550458733741
1010342003322440
113328023295139
1211b0423ba24b4
135a03290a807a
1427a7ac920196
1512e044e05aca
hex967ef6f2e48

10342003322440 has 128 divisors (see below), whose sum is σ = 23408948160000. Its totient is φ = 4112119065600.

The previous prime is 10342003322401. The next prime is 10342003322491. The reversal of 10342003322440 is 4422330024301.

It is a junction number, because it is equal to n+sod(n) for n = 10342003322399 and 10342003322408.

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, 7793521057 + ... + 7793522383.

It is an arithmetic number, because the mean of its divisors is an integer number (182882407500).

Almost surely, 210342003322440 is an apocalyptic number.

10342003322440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10342003322440 is an abundant number, since it is smaller than the sum of its proper divisors (13066944837560).

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

10342003322440 is a wasteful number, since it uses less digits than its factorization.

10342003322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 10342003322440 its reverse (4422330024301), we get a palindrome (14764333346741).

The spelling of 10342003322440 in words is "ten trillion, three hundred forty-two billion, three million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 499 557 701 998 1114 1327 1402 1996 2228 2495 2654 2785 2804 3505 3992 4456 4990 5308 5570 5608 6635 7010 9980 10616 11140 13270 14020 19960 22280 26540 28040 53080 277943 349799 390457 555886 662173 699598 739139 780914 930227 1111772 1324346 1389715 1399196 1478278 1561828 1748995 1860454 1952285 2223544 2648692 2779430 2798392 2956556 3123656 3310865 3497990 3695695 3720908 3904570 4651135 5297384 5558860 5913112 6621730 6995980 7391390 7441816 7809140 9302270 11117720 13243460 13991960 14782780 15618280 18604540 26486920 29565560 37209080 194838043 368830361 389676086 464183273 518136439 737660722 779352172 928366546 974190215 1036272878 1475321444 1558704344 1844151805 1856733092 1948380430 2072545756 2320916365 2590682195 2950642888 3688303610 3713466184 3896760860 4145091512 4641832730 5181364390 7376607220 7793521720 9283665460 10362728780 14753214440 18567330920 20725457560 258550083061 517100166122 1034200332244 1292750415305 2068400664488 2585500830610 5171001661220 10342003322440