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1402200040320 = 27325243437507
BaseRepresentation
bin10100011001111001101…
…000101010001110000000
311222001022201202102102200
4110121321220222032000
5140433201202242240
62552054541113200
7203206552454532
oct24317150521600
94861281672380
101402200040320
114a0740405132
121a7909b58800
13a22c4650991
144bc1c897852
152671b388930
hex14679a2a380

1402200040320 has 96 divisors (see below), whose sum is σ = 4841972034120. Its totient is φ = 373920009216.

The previous prime is 1402200040301. The next prime is 1402200040387. The reversal of 1402200040320 is 230400022041.

1402200040320 is a `hidden beast` number, since 1 + 40 + 2 + 200 + 0 + 403 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1402200040293 and 1402200040302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121712994 + ... + 121724513.

Almost surely, 21402200040320 is an apocalyptic number.

1402200040320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1402200040320 is an abundant number, since it is smaller than the sum of its proper divisors (3439771993800).

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

1402200040320 is a wasteful number, since it uses less digits than its factorization.

1402200040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243437532 (or 243437517 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1402200040320 its reverse (230400022041), we get a palindrome (1632600062361).

The spelling of 1402200040320 in words is "one trillion, four hundred two billion, two hundred million, forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 243437507 486875014 730312521 973750028 1217187535 1460625042 1947500056 2190937563 2434375070 2921250084 3651562605 3895000112 4381875126 4868750140 5842500168 7303125210 7790000224 8763750252 9737500280 10954687815 11685000336 14606250420 15580000448 17527500504 19475000560 21909375630 23370000672 29212500840 31160000896 35055001008 38950001120 43818751260 46740001344 58425001680 70110002016 77900002240 87637502520 93480002688 116850003360 140220004032 155800004480 175275005040 233700006720 280440008064 350550010080 467400013440 701100020160 1402200040320