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140414311032240 = 24357233633910741
BaseRepresentation
bin11111111011010011000001…
…001000010110010110110000
3200102011110212202112200012010
4133323103001020112112300
5121401022002111012430
61214345235522202520
741401412344664130
oct3773230110262660
9612143782480163
10140414311032240
1140816413a90a13
12138b92987b3440
136047021c1c04b
142696135dacac0
1511377724a5cb0
hex7fb4c12165b0

140414311032240 has 160 divisors (see below), whose sum is σ = 519096881673216. Its totient is φ = 30699277931520.

The previous prime is 140414311032223. The next prime is 140414311032269. The reversal of 140414311032240 is 42230113414041.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 140414311032198 and 140414311032207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1816916731 + ... + 1816994010.

Almost surely, 2140414311032240 is an apocalyptic number.

140414311032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140414311032240 is an abundant number, since it is smaller than the sum of its proper divisors (378682570640976).

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

140414311032240 is a wasteful number, since it uses less digits than its factorization.

140414311032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633910787 (or 3633910781 counting only the distinct ones).

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

Adding to 140414311032240 its reverse (42230113414041), we get a palindrome (182644424446281).

The spelling of 140414311032240 in words is "one hundred forty trillion, four hundred fourteen billion, three hundred eleven million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640 3633910741 7267821482 10901732223 14535642964 18169553705 21803464446 25437375187 29071285928 36339107410 43606928892 50874750374 54508661115 58142571856 72678214820 76312125561 83579947043 87213857784 101749500748 109017322230 127186875935 145356429640 152624251122 167159894086 174427715568 203499001496 218034644460 250739841129 254373751870 290712859280 305248502244 334319788172 381560627805 406998002992 417899735215 436069288920 501479682258 508747503740 585059629301 610497004488 668639576344 763121255610 835799470430 872138577840 1002959364516 1017495007480 1170119258602 1220994008976 1253699205645 1337279152688 1526242511220 1671598940860 1755178887903 2005918729032 2034990014960 2340238517204 2507398411290 2925298146505 3052485022440 3343197881720 3510357775806 4011837458064 4680477034408 5014796822580 5850596293010 6104970044880 6686395763440 7020715551612 8775894439515 9360954068816 10029593645160 11701192586020 14041431103224 17551788879030 20059187290320 23402385172040 28082862206448 35103577758060 46804770344080 70207155516120 140414311032240