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1400022135040 = 2852636776143
BaseRepresentation
bin10100010111110111110…
…100100111000100000000
311221211200221122101001011
4110113313310213010000
5140414221131310130
62551054501050304
7203101565540464
oct24276764470400
94854627571034
101400022135040
1149a822aa6711
121a74006b6994
13a2038387029
144ba9352c4a4
152664008352a
hex145f7d27100

1400022135040 has 144 divisors (see below), whose sum is σ = 3371762515968. Its totient is φ = 556964814848.

The previous prime is 1400022134989. The next prime is 1400022135041. The reversal of 1400022135040 is 405312200041.

It is not an unprimeable number, because it can be changed into a prime (1400022135041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227902209 + ... + 227908351.

It is an arithmetic number, because the mean of its divisors is an integer number (23415017472).

Almost surely, 21400022135040 is an apocalyptic number.

1400022135040 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 1400022135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685881257984).

1400022135040 is an abundant number, since it is smaller than the sum of its proper divisors (1971740380928).

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

1400022135040 is an equidigital number, since it uses as much as digits as its factorization.

1400022135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 1400022135040 its reverse (405312200041), we get a palindrome (1805334335081).

The spelling of 1400022135040 in words is "one trillion, four hundred billion, twenty-two million, one hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 263 320 526 640 677 1052 1280 1315 1354 2104 2630 2708 3385 4208 5260 5416 6143 6770 8416 10520 10832 12286 13540 16832 21040 21664 24572 27080 30715 33664 42080 43328 49144 54160 61430 67328 84160 86656 98288 108320 122860 168320 173312 178051 196576 216640 245720 336640 356102 393152 433280 491440 712204 786304 866560 890255 982880 1424408 1572608 1615609 1780510 1965760 2848816 3231218 3561020 3931520 4158811 5697632 6462436 7122040 7863040 8078045 8317622 11395264 12924872 14244080 16156090 16635244 20794055 22790528 25849744 28488160 32312180 33270488 41588110 45581056 51699488 56976320 64624360 66540976 83176220 103398976 113952640 129248720 133081952 166352440 206797952 227905280 258497440 266163904 332704880 413595904 516994880 532327808 665409760 1033989760 1064655616 1093767293 1330819520 2067979520 2187534586 2661639040 4375069172 5323278080 5468836465 8750138344 10937672930 17500276688 21875345860 35000553376 43750691720 70001106752 87501383440 140002213504 175002766880 280004427008 350005533760 700011067520 1400022135040