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401102402240 = 26523103529103
BaseRepresentation
bin1011101011000111001…
…00001111001011000000
31102100022111221012120102
411311203210033023000
523032424203332430
6504133000301532
740656456110501
oct5654344171300
91370274835512
10401102402240
11145119938531
12658a04718a8
132ba92b50567
14155b0768ba8
15a6785a6345
hex5d6390f2c0

401102402240 has 112 divisors (see below), whose sum is σ = 1006330411008. Its totient is φ = 151975025664.

The previous prime is 401102402153. The next prime is 401102402243. The reversal of 401102402240 is 42204201104.

It is a super-3 number, since 3×4011024022403 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (401102402243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493529 + ... + 1022631.

Almost surely, 2401102402240 is an apocalyptic number.

401102402240 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 401102402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503165205504).

401102402240 is an abundant number, since it is smaller than the sum of its proper divisors (605228008768).

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

401102402240 is a wasteful number, since it uses less digits than its factorization.

401102402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529246 (or 529236 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 401102402240 its reverse (42204201104), we get a palindrome (443306603344).

The spelling of 401102402240 in words is "four hundred one billion, one hundred two million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 103 115 160 184 206 230 320 368 412 460 515 736 824 920 1030 1472 1648 1840 2060 2369 3296 3680 4120 4738 6592 7360 8240 9476 11845 16480 18952 23690 32960 37904 47380 75808 94760 151616 189520 379040 529103 758080 1058206 2116412 2645515 4232824 5291030 8465648 10582060 12169369 16931296 21164120 24338738 33862592 42328240 48677476 54497609 60846845 84656480 97354952 108995218 121693690 169312960 194709904 217990436 243387380 272488045 389419808 435980872 486774760 544976090 778839616 871961744 973549520 1089952180 1253445007 1743923488 1947099040 2179904360 2506890014 3487846976 3894198080 4359808720 5013780028 6267225035 8719617440 10027560056 12534450070 17439234880 20055120112 25068900140 40110240224 50137800280 80220480448 100275600560 200551201120 401102402240