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140214131241400 = 23524349133205639
BaseRepresentation
bin11111111000011000100101…
…011111000011000110111000
3200101110100011212221200000201
4133320120211133003012320
5121334232020044211100
61214113252130411544
741351064611562436
oct3770304537030670
9611410155850021
10140214131241400
114074952a790247
1213886530a30bb4
13603119c5a0278
14268a586089d56
15113245836a36a
hex7f86257c31b8

140214131241400 has 96 divisors (see below), whose sum is σ = 334258598044800. Its totient is φ = 54669762403200.

The previous prime is 140214131241377. The next prime is 140214131241407. The reversal of 140214131241400 is 4142131412041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140214131241407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12380220 + ... + 20825419.

It is an arithmetic number, because the mean of its divisors is an integer number (3481860396300).

Almost surely, 2140214131241400 is an apocalyptic number.

140214131241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140214131241400 is an abundant number, since it is smaller than the sum of its proper divisors (194044466803400).

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

140214131241400 is a wasteful number, since it uses less digits than its factorization.

140214131241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33206189 (or 33206180 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 140214131241400 its reverse (4142131412041), we get a palindrome (144356262653441).

The spelling of 140214131241400 in words is "one hundred forty trillion, two hundred fourteen billion, one hundred thirty-one million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 491 860 982 1075 1720 1964 2150 2455 3928 4300 4910 8600 9820 12275 19640 21113 24550 42226 49100 84452 98200 105565 168904 211130 422260 527825 844520 1055650 2111300 4222600 33205639 66411278 132822556 166028195 265645112 332056390 664112780 830140975 1328225560 1427842477 1660281950 2855684954 3320563900 5711369908 6641127800 7139212385 11422739816 14278424770 16303968749 28556849540 32607937498 35696061925 57113699080 65215874996 71392123850 81519843745 130431749992 142784247700 163039687490 285568495400 326079374980 407599218725 652158749960 701070656207 815198437450 1402141312414 1630396874900 2804282624828 3260793749800 3505353281035 5608565249656 7010706562070 14021413124140 17526766405175 28042826248280 35053532810350 70107065620700 140214131241400