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38145068334840 = 23352910961226533
BaseRepresentation
bin10001010110001010101110…
…01111110111111011111000
312000001122002101202010102210
420223011113033313323320
514444432044443203330
6213043334045055120
711014614232042245
oct1053052717677370
9160048071663383
1038145068334840
11111772616a9405
12434092a2574a0
1318390ab95b89c
1495c3344265cc
154623928b48b0
hex22b1573f7ef8

38145068334840 has 64 divisors (see below), whose sum is σ = 118381246567200. Its totient is φ = 9821258972672.

The previous prime is 38145068334829. The next prime is 38145068334851. The reversal of 38145068334840 is 4843386054183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38145068334829) and next prime (38145068334851).

It is a super-2 number, since 2×381450683348402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5480609787 + ... + 5480616746.

Almost surely, 238145068334840 is an apocalyptic number.

38145068334840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38145068334840 is an abundant number, since it is smaller than the sum of its proper divisors (80236178232360).

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

38145068334840 is a wasteful number, since it uses less digits than its factorization.

38145068334840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10961226576 (or 10961226572 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 38145068334840 in words is "thirty-eight trillion, one hundred forty-five billion, sixty-eight million, three hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 10961226533 21922453066 32883679599 43844906132 54806132665 65767359198 87689812264 109612265330 131534718396 164418397995 219224530660 263069436792 317875569457 328836795990 438449061320 635751138914 657673591980 953626708371 1271502277828 1315347183960 1589377847285 1907253416742 2543004555656 3178755694570 3814506833484 4768133541855 6357511389140 7629013666968 9536267083710 12715022778280 19072534167420 38145068334840