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253421477144 = 23113799178539
BaseRepresentation
bin1110110000000100011…
…0001101110100011000
3220020010101012220101222
43230001012031310120
513123001344232034
6312230433431212
724211010004533
oct3540106156430
9806111186358
10253421477144
11985258a9710
124114640b508
131ab88b94594
14c3a0dada1a
1568d33b512e
hex3b0118dd18

253421477144 has 64 divisors (see below), whose sum is σ = 532915891200. Its totient is φ = 111963772800.

The previous prime is 253421477039. The next prime is 253421477201. The reversal of 253421477144 is 441774124352.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 253421477095 and 253421477104.

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, 3187427 + ... + 3265965.

It is an arithmetic number, because the mean of its divisors is an integer number (8326810800).

Almost surely, 2253421477144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253421477144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266457945600).

253421477144 is an abundant number, since it is smaller than the sum of its proper divisors (279494414056).

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

253421477144 is a wasteful number, since it uses less digits than its factorization.

253421477144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79584 (or 79580 counting only the distinct ones).

The product of its digits is 752640, while the sum is 44.

The spelling of 253421477144 in words is "two hundred fifty-three billion, four hundred twenty-one million, four hundred seventy-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 991 1628 1982 3256 3964 7928 10901 21802 36667 43604 73334 78539 87208 146668 157078 293336 314156 403337 628312 806674 863929 1613348 1727858 2905943 3226696 3455716 5811886 6911432 11623772 23247544 31965373 63930746 77832149 127861492 155664298 255722984 311328596 622657192 856153639 1712307278 2879789513 3424614556 5759579026 6849229112 11519158052 23038316104 31677684643 63355369286 126710738572 253421477144