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40466145060 = 223251130496703
BaseRepresentation
bin100101101011111110…
…000101111100100100
310212110011012011022100
4211223332011330210
51130333313120220
630331225532100
72631534362205
oct455376057444
9125404164270
1040466145060
11161860a17a0
127a14044030
133a7b812b43
141d5c46d5ac
1510bc8b3d90
hex96bf85f24

40466145060 has 144 divisors (see below), whose sum is σ = 133970054400. Its totient is φ = 9805294080.

The previous prime is 40466145037. The next prime is 40466145061. The reversal of 40466145060 is 6054166404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40466145061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6033669 + ... + 6040371.

It is an arithmetic number, because the mean of its divisors is an integer number (930347600).

Almost surely, 240466145060 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 40466145060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66985027200).

40466145060 is an abundant number, since it is smaller than the sum of its proper divisors (93503909340).

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

40466145060 is a wasteful number, since it uses less digits than its factorization.

40466145060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9778 (or 9773 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40466145060 in words is "forty billion, four hundred sixty-six million, one hundred forty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3049 6098 6703 9147 12196 13406 15245 18294 20109 26812 27441 30490 33515 33539 36588 40218 45735 54882 60327 60980 67030 67078 73733 80436 91470 100545 100617 109764 120654 134060 134156 137205 147466 167695 182940 201090 201234 221199 241308 274410 294932 301635 301851 335390 368665 402180 402468 442398 503085 548820 603270 603702 663597 670780 737330 884796 1006170 1105995 1206540 1207404 1327194 1474660 1509255 2012340 2211990 2654388 3018510 3317985 4423980 6037020 6635970 13271940 20437447 40874894 61312341 81749788 102187235 122624682 183937023 204374470 224811917 245249364 306561705 367874046 408748940 449623834 613123410 674435751 735748092 899247668 919685115 1124059585 1226246820 1348871502 1839370230 2023307253 2248119170 2697743004 3372178755 3678740460 4046614506 4496238340 6744357510 8093229012 10116536265 13488715020 20233072530 40466145060