Search a number
-
+
138944119300 = 225277310392617
BaseRepresentation
bin1000000101100110110…
…1110000001000000100
3111021122020212120201121
42001121231300020010
54234024143304200
6143455142403324
713016110345630
oct2013155601004
9437566776647
10138944119300
1153a20373368
1222b18130544
1310143bbab0c
146a212d5dc0
1539331a2e1a
hex2059b70204

138944119300 has 144 divisors (see below), whose sum is σ = 349771502080. Its totient is φ = 46922250240.

The previous prime is 138944119271. The next prime is 138944119333. The reversal of 138944119300 is 3911449831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53091592 + ... + 53094208.

Almost surely, 2138944119300 is an apocalyptic number.

138944119300 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 138944119300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174885751040).

138944119300 is an abundant number, since it is smaller than the sum of its proper divisors (210827382780).

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

138944119300 is a wasteful number, since it uses less digits than its factorization.

138944119300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 138944119300 in words is "one hundred thirty-eight billion, nine hundred forty-four million, one hundred nineteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 292 350 365 511 700 730 1022 1039 1460 1825 2044 2078 2555 2617 3650 4156 5110 5195 5234 7273 7300 10220 10390 10468 12775 13085 14546 18319 20780 25550 25975 26170 29092 36365 36638 51100 51950 52340 65425 72730 73276 75847 91595 103900 130850 145460 151694 181825 183190 191041 261700 303388 363650 366380 379235 382082 457975 530929 727300 758470 764164 915950 955205 1061858 1337287 1516940 1831900 1896175 1910410 2123716 2654645 2674574 2719063 3792350 3820820 4776025 5309290 5349148 5438126 6686435 7584700 9552050 10618580 10876252 13273225 13372870 13595315 19033441 19104100 26546450 26745740 27190630 33432175 38066882 53092900 54381260 66864350 67976575 76133764 95167205 133728700 135953150 190334410 198491599 271906300 380668820 396983198 475836025 793966396 951672050 992457995 1389441193 1903344100 1984915990 2778882386 3969831980 4962289975 5557764772 6947205965 9924579950 13894411930 19849159900 27788823860 34736029825 69472059650 138944119300