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1402400131220 = 2251143173856909
BaseRepresentation
bin10100011010000101100…
…011111100100010010100
311222001211200021002112202
4110122011203330202110
5140434103413144340
62552130445504032
7203214532301114
oct24320543744224
94861750232482
101402400131220
114a083334a410
121a7964b72018
13a2326c3a46a
144bc3b2a1044
152672dc0ec15
hex146858fc894

1402400131220 has 96 divisors (see below), whose sum is σ = 3306493491840. Its totient is φ = 495224271360.

The previous prime is 1402400131201. The next prime is 1402400131243. The reversal of 1402400131220 is 221310042041.

It is a super-2 number, since 2×14024001312202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1402400131192 and 1402400131201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208126 + ... + 2065034.

It is an arithmetic number, because the mean of its divisors is an integer number (34442640540).

Almost surely, 21402400131220 is an apocalyptic number.

1402400131220 is a gapful number since it is divisible by the number (10) 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 1402400131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653246745920).

1402400131220 is an abundant number, since it is smaller than the sum of its proper divisors (1904093360620).

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

1402400131220 is a wasteful number, since it uses less digits than its factorization.

1402400131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857145 (or 857143 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1402400131220 its reverse (221310042041), we get a palindrome (1623710173261).

The spelling of 1402400131220 in words is "one trillion, four hundred two billion, four hundred million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 173 215 220 346 430 473 692 860 865 946 1730 1892 1903 2365 3460 3806 4730 7439 7612 9460 9515 14878 19030 29756 37195 38060 74390 81829 148780 163658 327316 409145 818290 856909 1636580 1713818 3427636 4284545 8569090 9425999 17138180 18851998 36847087 37703996 47129995 73694174 94259990 147388348 148245257 184235435 188519980 296490514 368470870 405317957 592981028 736941740 741226285 810635914 1482452570 1621271828 1630697827 2026589785 2964905140 3261395654 4053179570 6374546051 6522791308 8106359140 8153489135 12749092102 16306978270 25498184204 31872730255 32613956540 63745460510 70120006561 127490921020 140240013122 280480026244 350600032805 701200065610 1402400131220