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140130314144000 = 28535646777551
BaseRepresentation
bin11111110111001010100001…
…100110001100100100000000
3200101011022211112021221202222
4133313022201212030210000
5121331343340410102000
61214010551055230212
741342036550162125
oct3767124146144400
9611138745257688
10140130314144000
1140716a29165414
121387223a818368
1360263026c5b4b
1426864b43ac74c
15113019ec04a85
hex7f72a198c900

140130314144000 has 144 divisors (see below), whose sum is σ = 349092812280576. Its totient is φ = 56050410240000.

The previous prime is 140130314143921. The next prime is 140130314144021. The reversal of 140130314144000 is 441413031041.

It is a happy number.

It is a super-2 number, since 2×1401303141440002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1806905225 + ... + 1806982775.

Almost surely, 2140130314144000 is an apocalyptic number.

140130314144000 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 140130314144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174546406140288).

140130314144000 is an abundant number, since it is smaller than the sum of its proper divisors (208962498136576).

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

140130314144000 is an frugal number, since it uses more digits than its factorization.

140130314144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134049 (or 134025 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 140130314144000 its reverse (441413031041), we get a palindrome (140571727175041).

The spelling of 140130314144000 in words is "one hundred forty trillion, one hundred thirty billion, three hundred fourteen million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 56467 77551 112934 155102 225868 282335 310204 387755 451736 564670 620408 775510 903472 1129340 1240816 1411675 1551020 1806944 1938775 2258680 2481632 2823350 3102040 3613888 3877550 4517360 4963264 5646700 6204080 7058375 7227776 7755100 9034720 9693875 9926528 11293400 12408160 14116750 14455552 15510200 18069440 19387750 19853056 22586800 24816320 28233500 31020400 36138880 38775500 45173600 49632640 56467000 62040800 72277760 77551000 90347200 99265280 112934000 124081600 155102000 180694400 225868000 248163200 310204000 361388800 451736000 496326400 620408000 903472000 1240816000 1806944000 2481632000 4379072317 8758144634 17516289268 21895361585 35032578536 43790723170 70065157072 87581446340 109476807925 140130314144 175162892680 218953615850 280260628288 350325785360 437907231700 547384039625 560521256576 700651570720 875814463400 1094768079250 1121042513152 1401303141440 1751628926800 2189536158500 2802606282880 3503257853600 4379072317000 5605212565760 7006515707200 8758144634000 14013031414400 17516289268000 28026062828800 35032578536000 70065157072000 140130314144000