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1401335004150 = 234522791123973
BaseRepresentation
bin10100011001000110000…
…100110011101111110110
311221222002110001000220000
4110121012010303233312
5140424413230113100
62551433040252130
7203146250000304
oct24310604635766
94858073030800
101401335004150
114a0337093704
121a7708311046
13a21b7379763
144bb79a3d274
15266ba466900
hex14646133bf6

1401335004150 has 120 divisors (see below), whose sum is σ = 3895061746224. Its totient is φ = 373552430400.

The previous prime is 1401335004143. The next prime is 1401335004193. The reversal of 1401335004150 is 514005331041.

It is a happy number.

1401335004150 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 3 + 3 + 500 + 4 + 150 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11241564 + ... + 11365536.

Almost surely, 21401335004150 is an apocalyptic number.

1401335004150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401335004150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947530873112).

1401335004150 is an abundant number, since it is smaller than the sum of its proper divisors (2493726742074).

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

1401335004150 is a wasteful number, since it uses less digits than its factorization.

1401335004150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126788 (or 126774 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1401335004150 in words is "one trillion, four hundred one billion, three hundred thirty-five million, four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 2791 4050 5582 8373 13955 16746 25119 27910 41865 50238 69775 75357 83730 123973 125595 139550 150714 209325 226071 247946 251190 371919 376785 418650 452142 619865 627975 743838 753570 1115757 1130355 1239730 1255950 1859595 1883925 2231514 2260710 3099325 3347271 3719190 3767850 5578785 5651775 6198650 6694542 9297975 10041813 11157570 11303550 16736355 18595950 20083626 27893925 33472710 50209065 55787850 83681775 100418130 167363550 251045325 346008643 502090650 692017286 1038025929 1730043215 2076051858 3114077787 3460086430 5190129645 6228155574 8650216075 9342233361 10380259290 15570388935 17300432150 18684466722 25950648225 28026700083 31140777870 46711166805 51901296450 56053400166 77851944675 93422333610 140133500415 155703889350 233555834025 280267000830 467111668050 700667502075 1401335004150