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141394960 = 24571997137
BaseRepresentation
bin10000110110110…
…00010000010000
3100212001121102101
420123120100100
5242144114320
622010330144
73334560130
oct1033302020
9325047371
10141394960
11728a5143
123b429954
13233a8275
1414ac8ac0
15c62ec0a
hex86d8410

141394960 has 160 divisors (see below), whose sum is σ = 402474240. Its totient is φ = 45121536.

The previous prime is 141394949. The next prime is 141394963. The reversal of 141394960 is 69493141.

It is not an unprimeable number, because it can be changed into a prime (141394963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032012 + ... + 1032148.

It is an arithmetic number, because the mean of its divisors is an integer number (2515464).

Almost surely, 2141394960 is an apocalyptic number.

141394960 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 141394960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201237120).

141394960 is an abundant number, since it is smaller than the sum of its proper divisors (261079280).

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

141394960 is a wasteful number, since it uses less digits than its factorization.

141394960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 141394960 is about 11890.9612731688. The cubic root of 141394960 is about 520.9683140852.

The spelling of 141394960 in words is "one hundred forty-one million, three hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 97 112 133 137 140 152 190 194 266 274 280 304 380 388 485 532 548 560 665 679 685 760 776 959 970 1064 1096 1330 1358 1370 1520 1552 1843 1918 1940 2128 2192 2603 2660 2716 2740 3395 3686 3836 3880 4795 5206 5320 5432 5480 6790 7372 7672 7760 9215 9590 10412 10640 10864 10960 12901 13015 13289 13580 14744 15344 18221 18430 19180 20824 25802 26030 26578 27160 29488 36442 36860 38360 41648 51604 52060 53156 54320 64505 66445 72884 73720 76720 91105 93023 103208 104120 106312 129010 132890 145768 147440 182210 186046 206416 208240 212624 252491 258020 265780 291536 364420 372092 465115 504982 516040 531560 728840 744184 930230 1009964 1032080 1063120 1262455 1457680 1488368 1767437 1860460 2019928 2524910 3534874 3720920 4039856 5049820 7069748 7441840 8837185 10099640 14139496 17674370 20199280 28278992 35348740 70697480 141394960