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1414245615540 = 2235167233960343
BaseRepresentation
bin10100100101000111100…
…110111000011110110100
312000012102012122001020020
4110211013212320132310
5141132333334144130
63001410115405140
7204114216246612
oct24450746703664
95005365561206
101414245615540
114a586186507a
121aa10bbb37b0
13a3494081894
144c64257a6b2
1526bc3b0ce10
hex149479b87b4

1414245615540 has 96 divisors (see below), whose sum is σ = 3985368791040. Its totient is φ = 374707406976.

The previous prime is 1414245615529. The next prime is 1414245615617. The reversal of 1414245615540 is 455165424141.

It is a super-2 number, since 2×14142456155402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1414245615492 and 1414245615501.

It is a congruent number.

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, 23406609 + ... + 23466951.

It is an arithmetic number, because the mean of its divisors is an integer number (41514258240).

Almost surely, 21414245615540 is an apocalyptic number.

1414245615540 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 1414245615540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992684395520).

1414245615540 is an abundant number, since it is smaller than the sum of its proper divisors (2571123175500).

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

1414245615540 is a wasteful number, since it uses less digits than its factorization.

1414245615540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62861 (or 62859 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 1414245615540 in words is "one trillion, four hundred fourteen billion, two hundred forty-five million, six hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1670 2004 2339 2505 3340 4678 5010 7017 9356 10020 11695 14034 23390 28068 35085 46780 60343 70170 120686 140340 181029 241372 301715 362058 390613 603430 724116 781226 905145 1171839 1206860 1562452 1810290 1953065 2343678 3620580 3906130 4687356 5859195 7812260 10077281 11718390 20154562 23436780 30231843 40309124 50386405 60463686 100772810 120927372 141142277 151159215 201545620 282284554 302318430 423426831 564569108 604636860 705711385 846853662 1411422770 1693707324 2117134155 2822845540 4234268310 8468536620 23570760259 47141520518 70712280777 94283041036 117853801295 141424561554 235707602590 282849123108 353561403885 471415205180 707122807770 1414245615540