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138061033320 = 23357315301883
BaseRepresentation
bin1000000010010100010…
…1000010111101101000
3111012100201012011111110
42000211011002331220
54230222111031240
6143231355030320
712655165264140
oct2004505027550
9435321164443
10138061033320
1153607943841
122291043b3a0
1310032c67032
146979cdd920
1538d08b7c80
hex2025142f68

138061033320 has 128 divisors (see below), whose sum is σ = 488621629440. Its totient is φ = 30538840320.

The previous prime is 138061033291. The next prime is 138061033337. The reversal of 138061033320 is 23330160831.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2624902 + ... + 2676981.

It is an arithmetic number, because the mean of its divisors is an integer number (3817356480).

Almost surely, 2138061033320 is an apocalyptic number.

138061033320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138061033320 is an abundant number, since it is smaller than the sum of its proper divisors (350560596120).

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

138061033320 is a wasteful number, since it uses less digits than its factorization.

138061033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5301935 (or 5301931 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 138061033320 in words is "one hundred thirty-eight billion, sixty-one million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 6510 8680 13020 26040 5301883 10603766 15905649 21207532 26509415 31811298 37113181 42415064 53018830 63622596 74226362 79528245 106037660 111339543 127245192 148452724 159056490 164358373 185565905 212075320 222679086 296905448 318112980 328716746 371131810 445358172 493075119 556697715 636225960 657433492 742263620 821791865 890716344 986150238 1113395430 1150508611 1314866984 1484527240 1643583730 1972300476 2226790860 2301017222 2465375595 3287167460 3451525833 3944600952 4453581720 4602034444 4930751190 5752543055 6574334920 6903051666 9204068888 9861502380 11505086110 13806103332 17257629165 19723004760 23010172220 27612206664 34515258330 46020344440 69030516660 138061033320