Search a number
-
+
40452442320 = 24352361911839
BaseRepresentation
bin100101101011001001…
…110100100011010000
310212102012101222200110
4211223021310203100
51130321311123240
630330020121320
72631310041423
oct455311644320
9125365358613
1040452442320
1116179392714
127a0b536240
133a78a25b04
141d5a7039ba
1510bb5a8c80
hex96b2748d0

40452442320 has 160 divisors (see below), whose sum is σ = 131077324800. Its totient is φ = 10300764672.

The previous prime is 40452442313. The next prime is 40452442321. The reversal of 40452442320 is 2324425404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40452442321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3410961 + ... + 3422799.

It is an arithmetic number, because the mean of its divisors is an integer number (819233280).

Almost surely, 240452442320 is an apocalyptic number.

40452442320 is a gapful number since it is divisible by the number (40) 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 40452442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65538662400).

40452442320 is an abundant number, since it is smaller than the sum of its proper divisors (90624882480).

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

40452442320 is a wasteful number, since it uses less digits than its factorization.

40452442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12497 (or 12491 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 40452442320 its reverse (2324425404), we get a palindrome (42776867724).

The spelling of 40452442320 in words is "forty billion, four hundred fifty-two million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 619 690 920 1104 1238 1380 1840 1857 2476 2760 3095 3714 4952 5520 6190 7428 9285 9904 11839 12380 14237 14856 18570 23678 24760 28474 29712 35517 37140 42711 47356 49520 56948 59195 71034 71185 74280 85422 94712 113896 118390 142068 142370 148560 170844 177585 189424 213555 227792 236780 272297 284136 284740 341688 355170 427110 473560 544594 568272 569480 683376 710340 816891 854220 947120 1089188 1138960 1361485 1420680 1633782 1708440 2178376 2722970 2841360 3267564 3416880 4084455 4356752 5445940 6535128 7328341 8168910 10891880 13070256 14656682 16337820 21783760 21985023 29313364 32675640 36641705 43970046 58626728 65351280 73283410 87940092 109925115 117253456 146566820 168551843 175880184 219850230 293133640 337103686 351760368 439700460 505655529 586267280 674207372 842759215 879400920 1011311058 1348414744 1685518430 1758801840 2022622116 2528277645 2696829488 3371036860 4045244232 5056555290 6742073720 8090488464 10113110580 13484147440 20226221160 40452442320