Search a number
-
+
326023665641040 = 24353756233616477
BaseRepresentation
bin100101000100001000100110…
…0110001110110011001010000
31120202100120001211000202211210
41022020101030301312121100
5320213032431401003130
63113221112050140120
7125446301234612163
oct11210211461663120
91522316054022753
10326023665641040
1194976950920334
12306956a1b81640
1310cbbb909a6b23
145a718b5923ada
1527a59551245b0
hex128844cc76650

326023665641040 has 80 divisors (see below), whose sum is σ = 1010676333610368. Its totient is φ = 86939388676608.

The previous prime is 326023665641027. The next prime is 326023665641143. The reversal of 326023665641040 is 40146566320623.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 88341282 + ... + 91957758.

Almost surely, 2326023665641040 is an apocalyptic number.

326023665641040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

326023665641040 is an abundant number, since it is smaller than the sum of its proper divisors (684652667969328).

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

326023665641040 is a wasteful number, since it uses less digits than its factorization.

326023665641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992116 (or 3992110 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 326023665641040 in words is "three hundred twenty-six trillion, twenty-three billion, six hundred sixty-five million, six hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 375623 751246 1126869 1502492 1878115 2253738 3004984 3616477 3756230 4507476 5634345 6009968 7232954 7512460 9014952 10849431 11268690 14465908 15024920 18029904 18082385 21698862 22537380 28931816 30049840 36164770 43397724 45074760 54247155 57863632 72329540 86795448 90149520 108494310 144659080 173590896 216988620 289318160 433977240 867954480 1358431940171 2716863880342 4075295820513 5433727760684 6792159700855 8150591641026 10867455521368 13584319401710 16301183282052 20376479102565 21734911042736 27168638803420 32602366564104 40752958205130 54337277606840 65204733128208 81505916410260 108674555213680 163011832820520 326023665641040