Search a number
-
+
41345151792 = 2437246337967
BaseRepresentation
bin100110100000010111…
…001111001100110000
310221201102012022212020
4212200113033030300
51134133324324132
630554350031440
72662366664100
oct464027171460
9127642168766
1041345151792
111659729553a
12801a4a8580
133b8b968c79
1420030c3200
15111eb4552c
hex9a05cf330

41345151792 has 120 divisors (see below), whose sum is σ = 124518030336. Its totient is φ = 11787076224.

The previous prime is 41345151779. The next prime is 41345151811. The reversal of 41345151792 is 29715154314.

It is a super-2 number, since 2×413451517922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069993 + ... + 1107959.

Almost surely, 241345151792 is an apocalyptic number.

41345151792 is a gapful number since it is divisible by the number (42) 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 41345151792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62259015168).

41345151792 is an abundant number, since it is smaller than the sum of its proper divisors (83172878544).

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

41345151792 is a wasteful number, since it uses less digits than its factorization.

41345151792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38455 (or 38442 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The spelling of 41345151792 in words is "forty-one billion, three hundred forty-five million, one hundred fifty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 463 588 784 926 1176 1389 1852 2352 2778 3241 3704 5556 6482 7408 9723 11112 12964 19446 22224 22687 25928 37967 38892 45374 51856 68061 75934 77784 90748 113901 136122 151868 155568 181496 227802 265769 272244 303736 362992 455604 531538 544488 607472 797307 911208 1063076 1088976 1594614 1822416 1860383 2126152 3189228 3720766 4252304 5581149 6378456 7441532 11162298 12756912 14883064 17578721 22324596 29766128 35157442 44649192 52736163 70314884 89298384 105472326 123051047 140629768 210944652 246102094 281259536 369153141 421889304 492204188 738306282 843778608 861357329 984408376 1476612564 1722714658 1968816752 2584071987 2953225128 3445429316 5168143974 5906450256 6890858632 10336287948 13781717264 20672575896 41345151792