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1408112277720 = 2335671011734043
BaseRepresentation
bin10100011111011010000…
…010000011100011011000
311222121120202200012110020
4110133122002003203120
5141032303220341340
62554513340550440
7203506222606341
oct24373202034330
94877522605406
101408112277720
114a31a4742645
121a8a99b52420
13a2a2749bcc5
144c21db7d0c8
15269654379d0
hex147da0838d8

1408112277720 has 128 divisors (see below), whose sum is σ = 4329838506240. Its totient is φ = 366229670400.

The previous prime is 1408112277647. The next prime is 1408112277749. The reversal of 1408112277720 is 277722118041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54982 + ... + 1679061.

It is an arithmetic number, because the mean of its divisors is an integer number (33826863330).

Almost surely, 21408112277720 is an apocalyptic number.

1408112277720 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 1408112277720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164919253120).

1408112277720 is an abundant number, since it is smaller than the sum of its proper divisors (2921726228520).

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

1408112277720 is a wasteful number, since it uses less digits than its factorization.

1408112277720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734225 (or 1734221 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The spelling of 1408112277720 in words is "one trillion, four hundred eight billion, one hundred twelve million, two hundred seventy-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 101 120 134 201 202 268 303 335 402 404 505 536 606 670 804 808 1005 1010 1212 1340 1515 1608 2010 2020 2424 2680 3030 4020 4040 6060 6767 8040 12120 13534 20301 27068 33835 40602 54136 67670 81204 101505 135340 162408 203010 270680 406020 812040 1734043 3468086 5202129 6936172 8670215 10404258 13872344 17340430 20808516 26010645 34680860 41617032 52021290 69361720 104042580 116180881 175138343 208085160 232361762 348542643 350276686 464723524 525415029 580904405 697085286 700553372 875691715 929447048 1050830058 1161808810 1394170572 1401106744 1742713215 1751383430 2101660116 2323617620 2627075145 2788341144 3485426430 3502766860 4203320232 4647235240 5254150290 6970852860 7005533720 10508300580 11734268981 13941705720 21016601160 23468537962 35202806943 46937075924 58671344905 70405613886 93874151848 117342689810 140811227772 176014034715 234685379620 281622455544 352028069430 469370759240 704056138860 1408112277720