Search a number
-
+
140152413023040 = 26351113272008809
BaseRepresentation
bin11111110111011111000110…
…110010101110101101000000
3200101020102212122020022210110
4133313133012302232231000
5121332224120213214130
61214025044003031320
741343451306433655
oct3767370662565500
9611212778208713
10140152413023040
1140725339427310
121387658766b540
136028414b88332
1426875ad32bc2c
151130a44d65ab0
hex7f77c6caeb40

140152413023040 has 112 divisors (see below), whose sum is σ = 485436994234560. Its totient is φ = 33976342548480.

The previous prime is 140152413022967. The next prime is 140152413023041. The reversal of 140152413023040 is 40320314251041.

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 = 140152413022989 and 140152413023007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140152413023041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6635993845 + ... + 6636014964.

Almost surely, 2140152413023040 is an apocalyptic number.

140152413023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140152413023040 is an abundant number, since it is smaller than the sum of its proper divisors (345284581211520).

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

140152413023040 is a wasteful number, since it uses less digits than its factorization.

140152413023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13272008840 (or 13272008830 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 140152413023040 its reverse (40320314251041), we get a palindrome (180472727274081).

The spelling of 140152413023040 in words is "one hundred forty trillion, one hundred fifty-two billion, four hundred thirteen million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 13272008809 26544017618 39816026427 53088035236 66360044045 79632052854 106176070472 132720088090 145992096899 159264105708 199080132135 212352140944 265440176180 291984193798 318528211416 398160264270 424704281888 437976290697 530880352360 583968387596 637056422832 729960484495 796320528540 849408563776 875952581394 1061760704720 1167936775192 1274112845664 1459920968990 1592641057080 1751905162788 2123521409440 2189881453485 2335873550384 2548225691328 2919841937980 3185282114160 3503810325576 4247042818880 4379762906970 4671747100768 5839683875960 6370564228320 7007620651152 8759525813940 9343494201536 11679367751920 12741128456640 14015241302304 17519051627880 23358735503840 28030482604608 35038103255760 46717471007680 70076206511520 140152413023040