Search a number
-
+
401402886304 = 25740120992129
BaseRepresentation
bin1011101011101010111…
…10011111100010100000
31102101002110100101012211
411311311132133202200
523034033114330204
6504222452531504
741000065144360
oct5656536374240
91371073311184
10401402886304
11145263512672
1265965020b94
132bb1018a794
14155dc6269a0
15a694b5d804
hex5d7579f8a0

401402886304 has 96 divisors (see below), whose sum is σ = 906265584000. Its totient is φ = 171438489600.

The previous prime is 401402886277. The next prime is 401402886317. The reversal of 401402886304 is 403688204104.

It is a happy number.

It is a super-2 number, since 2×4014028863042 (a number of 24 digits) contains 22 as substring.

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, 188539512 + ... + 188541640.

It is an arithmetic number, because the mean of its divisors is an integer number (9440266500).

Almost surely, 2401402886304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401402886304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453132792000).

401402886304 is an abundant number, since it is smaller than the sum of its proper divisors (504862697696).

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

401402886304 is a wasteful number, since it uses less digits than its factorization.

401402886304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 401402886304 in words is "four hundred one billion, four hundred two million, eight hundred eighty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 401 802 1604 2099 2129 2807 3208 4198 4258 5614 6416 8396 8516 11228 12832 14693 14903 16792 17032 22456 29386 29806 33584 34064 44912 58772 59612 67168 68128 89824 117544 119224 235088 238448 470176 476896 841699 853729 1683398 1707458 3366796 3414916 4468771 5891893 5976103 6733592 6829832 8937542 11783786 11952206 13467184 13659664 17875084 23567572 23904412 26934368 27319328 31281397 35750168 47135144 47808824 62562794 71500336 94270288 95617648 125125588 143000672 188540576 191235296 250251176 500502352 1001004704 1791977171 3583954342 7167908684 12543840197 14335817368 25087680394 28671634736 50175360788 57343269472 100350721576 200701443152 401402886304