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144474880 = 2851131331
BaseRepresentation
bin10001001110010…
…00001100000000
3101001212002021111
420213020030000
5243441144010
622200333104
73403005364
oct1047101400
9331762244
10144474880
1174609130
1240474194
1323c160c4
141528b2a4
15ca3c58a
hex89c8300

144474880 has 144 divisors (see below), whose sum is σ = 390878208. Its totient is φ = 50688000.

The previous prime is 144474859. The next prime is 144474919. The reversal of 144474880 is 88474441.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 436315 + ... + 436645.

It is an arithmetic number, because the mean of its divisors is an integer number (2714432).

Almost surely, 2144474880 is an apocalyptic number.

144474880 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 144474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195439104).

144474880 is an abundant number, since it is smaller than the sum of its proper divisors (246403328).

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

144474880 is a wasteful number, since it uses less digits than its factorization.

144474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The square root of 144474880 is about 12019.7703805023. The cubic root of 144474880 is about 524.7238214828.

The spelling of 144474880 in words is "one hundred forty-four million, four hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 256 310 320 331 341 352 440 496 620 640 662 682 704 880 992 1240 1280 1324 1364 1408 1655 1705 1760 1984 2480 2648 2728 2816 3310 3410 3520 3641 3968 4960 5296 5456 6620 6820 7040 7282 7936 9920 10261 10592 10912 13240 13640 14080 14564 18205 19840 20522 21184 21824 26480 27280 29128 36410 39680 41044 42368 43648 51305 52960 54560 58256 72820 82088 84736 87296 102610 105920 109120 112871 116512 145640 164176 205220 211840 218240 225742 233024 291280 328352 410440 423680 436480 451484 466048 564355 582560 656704 820880 902968 932096 1128710 1165120 1313408 1641760 1805936 2257420 2330240 2626816 3283520 3611872 4514840 4660480 6567040 7223744 9029680 13134080 14447488 18059360 28894976 36118720 72237440 144474880