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141513216 = 2931319373
BaseRepresentation
bin10000110111101…
…01001000000000
3100212021121122020
420123311020000
5242211410331
622013041440
73335561655
oct1033651000
9325247566
10141513216
1172975a79
123b486280
132341a040
1414b19c2c
15c654c96
hex86f5200

141513216 has 160 divisors (see below), whose sum is σ = 428514240. Its totient is φ = 41140224.

The previous prime is 141513187. The next prime is 141513223. The reversal of 141513216 is 612315141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 379206 + ... + 379578.

It is an arithmetic number, because the mean of its divisors is an integer number (2678214).

Almost surely, 2141513216 is an apocalyptic number.

141513216 is a gapful number since it is divisible by the number (16) 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 141513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214257120).

141513216 is an abundant number, since it is smaller than the sum of its proper divisors (287001024).

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

141513216 is a wasteful number, since it uses less digits than its factorization.

141513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 410 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 141513216 is about 11895.9327503143. The cubic root of 141513216 is about 521.1135112966.

Adding to 141513216 its reverse (612315141), we get a palindrome (753828357).

The spelling of 141513216 in words is "one hundred forty-one million, five hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 373 384 416 456 494 512 608 624 741 746 768 832 912 988 1119 1216 1248 1482 1492 1536 1664 1824 1976 2238 2432 2496 2964 2984 3328 3648 3952 4476 4849 4864 4992 5928 5968 6656 7087 7296 7904 8952 9698 9728 9984 11856 11936 14174 14547 14592 15808 17904 19396 19968 21261 23712 23872 28348 29094 29184 31616 35808 38792 42522 47424 47744 56696 58188 63232 71616 77584 85044 92131 94848 95488 113392 116376 126464 143232 155168 170088 184262 189696 190976 226784 232752 276393 286464 310336 340176 368524 379392 453568 465504 552786 572928 620672 680352 737048 907136 931008 1105572 1241344 1360704 1474096 1814272 1862016 2211144 2482688 2721408 2948192 3628544 3724032 4422288 5442816 5896384 7448064 8844576 10885632 11792768 17689152 23585536 35378304 47171072 70756608 141513216