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140113024001320 = 235191734049263191
BaseRepresentation
bin11111110110111010011011…
…000001100010010100101000
3200101002200012112211200221011
4133312322123001202110220
5121331102433121020240
61213555011251353304
741340555231324646
oct3766723301422450
9611080175750834
10140113024001320
114070a6663452a7
121386aa142b2834
1360247a85765a6
142685713d64196
15112e9dbd196ea
hex7f6e9b062528

140113024001320 has 128 divisors (see below), whose sum is σ = 333848524320000. Its totient is φ = 52775313592320.

The previous prime is 140113024001311. The next prime is 140113024001329. The reversal of 140113024001320 is 23100420311041.

It is an interprime number because it is at equal distance from previous prime (140113024001311) and next prime (140113024001329).

It is a junction number, because it is equal to n+sod(n) for n = 140113024001291 and 140113024001300.

It is not an unprimeable number, because it can be changed into a prime (140113024001329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532230925 + ... + 532494115.

It is an arithmetic number, because the mean of its divisors is an integer number (2608191596250).

Almost surely, 2140113024001320 is an apocalyptic number.

140113024001320 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 140113024001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166924262160000).

140113024001320 is an abundant number, since it is smaller than the sum of its proper divisors (193735500318680).

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

140113024001320 is a wasteful number, since it uses less digits than its factorization.

140113024001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267443 (or 267439 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 140113024001320 its reverse (23100420311041), we get a palindrome (163213444312361).

The spelling of 140113024001320 in words is "one hundred forty trillion, one hundred thirteen billion, twenty-four million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 173 190 346 380 692 760 865 1384 1730 3287 3460 4049 6574 6920 8098 13148 16196 16435 20245 26296 32392 32870 40490 65740 76931 80980 131480 153862 161960 263191 307724 384655 526382 615448 700477 769310 1052764 1315955 1400954 1538620 2105528 2631910 2801908 3077240 3502385 5000629 5263820 5603816 7004770 10001258 10527640 13309063 14009540 20002516 25003145 26618126 28019080 40005032 45532043 50006290 53236252 66545315 91064086 100012580 106472504 133090630 182128172 200025160 227660215 266181260 364256344 455320430 532362520 865108817 910640860 1065660359 1730217634 1821281720 2131320718 3460435268 4262641436 4325544085 5328301795 6920870536 8525282872 8651088170 10656603590 17302176340 20247546821 21313207180 34604352680 40495093642 42626414360 80990187284 101237734105 161980374568 184359242107 202475468210 368718484214 404950936420 737436968428 809901872840 921796210535 1474873936856 1843592421070 3502825600033 3687184842140 7005651200066 7374369684280 14011302400132 17514128000165 28022604800264 35028256000330 70056512000660 140113024001320