Search a number
-
+
53407375440 = 24351713090043
BaseRepresentation
bin110001101111010100…
…111110000001010000
312002212001101210000020
4301233110332001100
51333334242003230
640311321223440
73600325125636
oct615724760120
9162761353006
1053407375440
1120717086711
12a426031b80
135061978903
14282909b356
1515c8aa7810
hexc6f53e050

53407375440 has 80 divisors (see below), whose sum is σ = 175301869248. Its totient is φ = 13404203008.

The previous prime is 53407375387. The next prime is 53407375451. The reversal of 53407375440 is 4457370435.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 53407375392 and 53407375401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6540942 + ... + 6549101.

Almost surely, 253407375440 is an apocalyptic number.

It is an amenable number.

53407375440 is an abundant number, since it is smaller than the sum of its proper divisors (121894493808).

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

53407375440 is a wasteful number, since it uses less digits than its factorization.

53407375440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13090076 (or 13090070 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 42.

The spelling of 53407375440 in words is "fifty-three billion, four hundred seven million, three hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 13090043 26180086 39270129 52360172 65450215 78540258 104720344 130900430 157080516 196350645 209440688 222530731 261800860 314161032 392701290 445061462 523601720 628322064 667592193 785402580 890122924 1047203440 1112653655 1335184386 1570805160 1780245848 2225307310 2670368772 3141610320 3337960965 3560491696 4450614620 5340737544 6675921930 8901229240 10681475088 13351843860 17802458480 26703687720 53407375440