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140463124060400 = 245210722914331217
BaseRepresentation
bin11111111100000000011110…
…100111010001100011110000
3200102100010212121212102112222
4133330000132213101203300
5121402321434224413100
61214423511322540212
741405061104612441
oct3774003647214360
9612303777772488
10140463124060400
11408350927364a9
1213906840067668
13604b800aa956b
142698646c012c8
151138b7ca35485
hex7fc01e9d18f0

140463124060400 has 120 divisors (see below), whose sum is σ = 342103944370320. Its totient is φ = 55417092526080.

The previous prime is 140463124060379. The next prime is 140463124060409. The reversal of 140463124060400 is 4060421364041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140463124060409) 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, 2635592 + ... + 16966808.

It is an arithmetic number, because the mean of its divisors is an integer number (2850866203086).

Almost surely, 2140463124060400 is an apocalyptic number.

140463124060400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140463124060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171051972185160).

140463124060400 is an abundant number, since it is smaller than the sum of its proper divisors (201640820309920).

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

140463124060400 is a wasteful number, since it uses less digits than its factorization.

140463124060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14331571 (or 14331560 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 140463124060400 in words is "one hundred forty trillion, four hundred sixty-three billion, one hundred twenty-four million, sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 229 400 428 458 535 856 916 1070 1145 1712 1832 2140 2290 2675 3664 4280 4580 5350 5725 8560 9160 10700 11450 18320 21400 22900 24503 42800 45800 49006 91600 98012 122515 196024 245030 392048 490060 612575 980120 1225150 1960240 2450300 4900600 9801200 14331217 28662434 57324868 71656085 114649736 143312170 229299472 286624340 358280425 573248680 716560850 1146497360 1433121700 1533440219 2866243400 3066880438 3281848693 5732486800 6133760876 6563697386 7667201095 12267521752 13127394772 15334402190 16409243465 24535043504 26254789544 30668804380 32818486930 38336005475 52509579088 61337608760 65636973860 76672010950 82046217325 122675217520 131273947720 153344021900 164092434650 262547895440 306688043800 328184869300 351157810151 613376087600 656369738600 702315620302 1312739477200 1404631240604 1755789050755 2809262481208 3511578101510 5618524962416 7023156203020 8778945253775 14046312406040 17557890507550 28092624812080 35115781015100 70231562030200 140463124060400