Search a number
-
+
2401574166040 = 235710184921293
BaseRepresentation
bin100010111100101000111…
…110011001111000011000
322111120212211111010210211
4202330220332121320120
5303321410441303130
65035133513020504
7335336150411320
oct42745076317030
98446784433724
102401574166040
1184655800a455
123295363b4734
131456100617ba
1484345b40280
154270cbc0a2a
hex22f28f99e18

2401574166040 has 64 divisors (see below), whose sum is σ = 6236619831360. Its totient is φ = 815244403200.

The previous prime is 2401574165987. The next prime is 2401574166053. The reversal of 2401574166040 is 406614751042.

2401574166040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2401574165984 and 2401574166002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42432367 + ... + 42488926.

It is an arithmetic number, because the mean of its divisors is an integer number (97447184865).

Almost surely, 22401574166040 is an apocalyptic number.

2401574166040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401574166040 is an abundant number, since it is smaller than the sum of its proper divisors (3835045665320).

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

2401574166040 is a wasteful number, since it uses less digits than its factorization.

2401574166040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84921412 (or 84921408 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 2401574166040 in words is "two trillion, four hundred one billion, five hundred seventy-four million, one hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 2020 2828 3535 4040 5656 7070 14140 28280 84921293 169842586 339685172 424606465 594449051 679370344 849212930 1188898102 1698425860 2377796204 2972245255 3396851720 4755592408 5944490510 8577050593 11888981020 17154101186 23777962040 34308202372 42885252965 60039354151 68616404744 85770505930 120078708302 171541011860 240157416604 300196770755 343082023720 480314833208 600393541510 1200787083020 2401574166040