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2415450336140 = 2251960116696337
BaseRepresentation
bin100011001001100100000…
…011110010101110001100
322112220200212221121200202
4203021210003302232030
5304033320241224030
65045350443313032
7336340053044612
oct43114403625614
98486625847622
102415450336140
11851428820426
1233016951b778
13146a11b0543a
1484ca09c16b2
1542c70ee3745
hex232640f2b8c

2415450336140 has 96 divisors (see below), whose sum is σ = 5352349732800. Its totient is φ = 913113907200.

The previous prime is 2415450336139. The next prime is 2415450336151. The reversal of 2415450336140 is 416330545142.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 2415450336094 and 2415450336103.

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, 381163052 + ... + 381169388.

It is an arithmetic number, because the mean of its divisors is an integer number (55753643050).

Almost surely, 22415450336140 is an apocalyptic number.

2415450336140 is a gapful number since it is divisible by the number (20) 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 2415450336140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676174866400).

2415450336140 is an abundant number, since it is smaller than the sum of its proper divisors (2936899396660).

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

2415450336140 is a wasteful number, since it uses less digits than its factorization.

2415450336140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8635 (or 8633 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 2415450336140 in words is "two trillion, four hundred fifteen billion, four hundred fifty million, three hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 601 1202 1669 2404 3005 3338 6010 6337 6676 8345 11419 12020 12674 16690 22838 25348 31685 31711 33380 45676 57095 63370 63422 114190 120403 126740 126844 158555 228380 240806 317110 481612 602015 634220 1003069 1204030 2006138 2408060 3808537 4012276 5015345 7617074 10030690 10576453 15234148 19042685 19058311 20061380 21152906 38085370 38116622 42305812 52882265 72362203 76170740 76233244 95291555 105764530 144724406 190583110 200952607 211529060 289448812 361811015 381166220 401905214 723622030 803810428 1004763035 1447244060 2009526070 4019052140 6356448253 12712896506 25425793012 31782241265 63564482530 120772516807 127128965060 241545033614 483090067228 603862584035 1207725168070 2415450336140