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144764496 = 2434195879
BaseRepresentation
bin10001010000011…
…10111001010000
3101002101210120000
420220032321100
5244024430441
622210450000
73405322632
oct1050167120
9332353500
10144764496
1174796788
1240593900
1323cb7b86
1415324a52
15ca982b6
hex8a0ee50

144764496 has 100 divisors (see below), whose sum is σ = 441117600. Its totient is φ = 45707328.

The previous prime is 144764489. The next prime is 144764509. The reversal of 144764496 is 694467441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21685 + ... + 27563.

It is an arithmetic number, because the mean of its divisors is an integer number (4411176).

Almost surely, 2144764496 is an apocalyptic number.

144764496 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 144764496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220558800).

144764496 is an abundant number, since it is smaller than the sum of its proper divisors (296353104).

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

144764496 is a wasteful number, since it uses less digits than its factorization.

144764496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5903 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 144764496 is about 12031.8118336350. The cubic root of 144764496 is about 525.0742099179.

The spelling of 144764496 in words is "one hundred forty-four million, seven hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 912 1026 1296 1368 1539 2052 2736 3078 4104 5879 6156 8208 11758 12312 17637 23516 24624 35274 47032 52911 70548 94064 105822 111701 141096 158733 211644 223402 282192 317466 335103 423288 446804 476199 634932 670206 846576 893608 952398 1005309 1269864 1340412 1787216 1904796 2010618 2539728 2680824 3015927 3809592 4021236 5361648 6031854 7619184 8042472 9047781 12063708 16084944 18095562 24127416 36191124 48254832 72382248 144764496