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401432040144 = 243210327065267
BaseRepresentation
bin1011101011101110011…
…01101101001011010000
31102101011111012112202200
411311313031231023100
523034113100241034
6504225413443200
741000601020112
oct5656715551320
91371144175680
10401432040144
11145278a15353
1265972940500
132bb16227585
14156024553b2
15a6974bba99
hex5d7736d2d0

401432040144 has 60 divisors (see below), whose sum is σ = 1134359512416. Its totient is φ = 132511542336.

The previous prime is 401432040133. The next prime is 401432040151. The reversal of 401432040144 is 441040234104.

401432040144 is a `hidden beast` number, since 401 + 43 + 204 + 0 + 14 + 4 = 666.

It is a super-2 number, since 2×4014320401442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 13517802 + ... + 13547465.

Almost surely, 2401432040144 is an apocalyptic number.

It is an amenable number.

401432040144 is an abundant number, since it is smaller than the sum of its proper divisors (732927472272).

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

401432040144 is a wasteful number, since it uses less digits than its factorization.

401432040144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27065384 (or 27065375 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 401432040144 its reverse (441040234104), we get a palindrome (842472274248).

The spelling of 401432040144 in words is "four hundred one billion, four hundred thirty-two million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 1236 1648 1854 2472 3708 4944 7416 14832 27065267 54130534 81195801 108261068 162391602 216522136 243587403 324783204 433044272 487174806 649566408 974349612 1299132816 1948699224 2787722501 3897398448 5575445002 8363167503 11150890004 16726335006 22301780008 25089502509 33452670012 44603560016 50179005018 66905340024 100358010036 133810680048 200716020072 401432040144