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140214401324310 = 235315091446120483
BaseRepresentation
bin11111111000011000110101…
…100101010101010100010110
3200101110100212201011022010110
4133320120311211111110112
5121334233043214334220
61214113335015303450
741351104401340245
oct3770306545252426
9611410781138113
10140214401324310
1140749659190565
12138865a737ab86
136031213524a41
14268a5adcb295c
151132471e19be0
hex7f8635955516

140214401324310 has 128 divisors (see below), whose sum is σ = 348093388984320. Its totient is φ = 36109012262400.

The previous prime is 140214401324303. The next prime is 140214401324429. The reversal of 140214401324310 is 13423104412041.

It is a happy number.

It is a super-2 number, since 2×1402144013243102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6845393329 + ... + 6845413811.

It is an arithmetic number, because the mean of its divisors is an integer number (2719479601440).

Almost surely, 2140214401324310 is an apocalyptic number.

140214401324310 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 140214401324310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174046694492160).

140214401324310 is an abundant number, since it is smaller than the sum of its proper divisors (207878987660010).

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

140214401324310 is a wasteful number, since it uses less digits than its factorization.

140214401324310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35494.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 140214401324310 its reverse (13423104412041), we get a palindrome (153637505736351).

The spelling of 140214401324310 in words is "one hundred forty trillion, two hundred fourteen billion, four hundred one million, three hundred twenty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 509 930 1018 1527 2545 3054 5090 7635 14461 15270 15779 20483 28922 31558 40966 43383 47337 61449 72305 78895 86766 94674 102415 122898 144610 157790 204830 216915 236685 307245 433830 448291 473370 614490 634973 896582 1269946 1344873 1904919 2241455 2689746 3174865 3809838 4482910 6349730 6724365 7360649 9524595 10425847 13448730 14721298 19049190 20851694 22081947 31277541 36803245 44163894 52129235 62555082 73606490 104258470 110409735 156387705 220819470 228180119 296204663 312775410 323201257 456360238 592409326 646402514 684540357 888613989 969603771 1140900595 1369080714 1481023315 1616006285 1777227978 1939207542 2281801190 2962046630 3232012570 3422701785 4443069945 4848018855 6845403570 8886139890 9182344553 9696037710 18364689106 27547033659 45911722765 55094067318 91823445530 137735168295 150768173467 275470336590 301536346934 452304520401 753840867335 904609040802 1507681734670 2261522602005 4523045204010 4673813377477 9347626754954 14021440132431 23369066887385 28042880264862 46738133774770 70107200662155 140214401324310