Search a number
-
+
400413324421424 = 2431233893768343
BaseRepresentation
bin101101100001011000111110…
…1111101110010100100110000
31221111202010210001002020010102
41123002301331331302210300
5404440332442022441144
63535335201455451532
7150224623311353126
oct13302617575624460
91844663701066112
10400413324421424
11106647378978026
1238aaa950226ba8
1314256a78529612
1470c41732a5916
153145a096adb4e
hex16c2c7df72930

400413324421424 has 60 divisors (see below), whose sum is σ = 801658629032688. Its totient is φ = 193742414156160.

The previous prime is 400413324421391. The next prime is 400413324421441. The reversal of 400413324421424 is 424124423314004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520754597 + ... + 521522939.

Almost surely, 2400413324421424 is an apocalyptic number.

It is an amenable number.

400413324421424 is an abundant number, since it is smaller than the sum of its proper divisors (401245304611264).

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

400413324421424 is a wasteful number, since it uses less digits than its factorization.

400413324421424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802306 (or 802269 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 400413324421424 its reverse (424124423314004), we get a palindrome (824537747735428).

The spelling of 400413324421424 in words is "four hundred trillion, four hundred thirteen billion, three hundred twenty-four million, four hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 15376 33893 67786 135572 271144 542288 768343 1050683 1536686 2101366 3073372 4202732 6146744 8405464 12293488 16810928 23818633 32571173 47637266 65142346 95274532 130284692 190549064 260569384 381098128 521138768 738377623 1476755246 2953510492 5907020984 11814041968 26041449299 52082898598 104165797196 208331594392 416663188784 807284928269 1614569856538 3229139713076 6458279426152 12916558852304 25025832776339 50051665552678 100103331105356 200206662210712 400413324421424