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140075220641400 = 233252117074506093
BaseRepresentation
bin11111110110010111001101…
…110001001010011001111000
3200100222001121222011001010200
4133312113031301022121320
5121324443022441011100
61213525400142242200
741335046356140432
oct3766271561123170
9610861558131120
10140075220641400
11406a5627331490
1213863623b86360
13602106261a275
1426839693db652
15112da280d8e00
hex7f65cdc4a678

140075220641400 has 144 divisors (see below), whose sum is σ = 513184672058760. Its totient is φ = 33957629241600.

The previous prime is 140075220641381. The next prime is 140075220641401. The reversal of 140075220641400 is 4146022570041.

140075220641400 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 7 + 5 + 2 + 2 + 0 + 641 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140075220641401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3537233247 + ... + 3537272846.

Almost surely, 2140075220641400 is an apocalyptic number.

140075220641400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140075220641400 is an abundant number, since it is smaller than the sum of its proper divisors (373109451417360).

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

140075220641400 is a wasteful number, since it uses less digits than its factorization.

140075220641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074506126 (or 7074506114 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 140075220641400 in words is "one hundred forty trillion, seventy-five billion, two hundred twenty million, six hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 7074506093 14149012186 21223518279 28298024372 35372530465 42447036558 56596048744 63670554837 70745060930 77819567023 84894073116 106117591395 127341109674 141490121860 155639134046 169788146232 176862652325 212235182790 233458701069 254682219348 282980243720 311278268092 318352774185 353725304650 389097835115 424470365580 466917402138 509364438696 530587956975 622556536184 636705548370 700376103207 707450609300 778195670230 848940731160 933834804276 1061175913950 1167293505345 1273411096740 1400752206414 1414901218600 1556391340460 1591763870925 1867669608552 1945489175575 2122351827900 2334587010690 2546822193480 2801504412828 3112782680920 3183527741850 3501880516035 3890978351150 4244703655800 4669174021380 5603008825656 5836467526725 6367055483700 7003761032070 7781956702300 9338348042760 11672935053450 12734110967400 14007522064140 15563913404600 17509402580175 23345870106900 28015044128280 35018805160350 46691740213800 70037610320700 140075220641400