Search a number
-
+
40961258480 = 2453768320261
BaseRepresentation
bin100110001001011110…
…110011001111110000
310220201122211112020102
4212021132303033300
51132342040232410
630452313531532
72650025644442
oct461136631760
9126648745212
1040961258480
111640a62083a
127b31a13ba8
133b2a27696c
141da8112492
1510eb0b42a5
hex9897b33f0

40961258480 has 80 divisors (see below), whose sum is σ = 97956882144. Its totient is φ = 15917552640.

The previous prime is 40961258473. The next prime is 40961258519. The reversal of 40961258480 is 8485216904.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2011550 + ... + 2031810.

Almost surely, 240961258480 is an apocalyptic number.

40961258480 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 40961258480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48978441072).

40961258480 is an abundant number, since it is smaller than the sum of its proper divisors (56995623664).

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

40961258480 is a wasteful number, since it uses less digits than its factorization.

40961258480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20994 (or 20988 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 40961258480 in words is "forty billion, nine hundred sixty-one million, two hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 683 740 1366 1480 2732 2960 3415 5464 6830 10928 13660 20261 25271 27320 40522 50542 54640 81044 101084 101305 126355 162088 202168 202610 252710 324176 404336 405220 505420 749657 810440 1010840 1499314 1620880 2021680 2998628 3748285 5997256 7496570 11994512 13838263 14993140 27676526 29986280 55353052 59972560 69191315 110706104 138382630 221412208 276765260 512015731 553530520 1024031462 1107061040 2048062924 2560078655 4096125848 5120157310 8192251696 10240314620 20480629240 40961258480