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137338257240030 = 235711159233733831
BaseRepresentation
bin11111001110100010001110…
…000010010110111111011110
3200000021102001021122110011010
4133032202032002112333132
5121000122222323140110
61204032154022040050
740633235021111310
oct3716421602267736
9600242037573133
10137338257240030
113a83a9118a1510
12134a10a8579026
135b82c329c3542
1425cb2c848b7b0
1510d273ae40020
hex7ce88e096fde

137338257240030 has 128 divisors (see below), whose sum is σ = 410970521788416. Its totient is φ = 28536019804800.

The previous prime is 137338257240007. The next prime is 137338257240043. The reversal of 137338257240030 is 30042752833731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34915215 + ... + 38649045.

It is an arithmetic number, because the mean of its divisors is an integer number (3210707201472).

Almost surely, 2137338257240030 is an apocalyptic number.

137338257240030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137338257240030 is an abundant number, since it is smaller than the sum of its proper divisors (273632264548386).

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

137338257240030 is a wasteful number, since it uses less digits than its factorization.

137338257240030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749782.

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 137338257240030 in words is "one hundred thirty-seven trillion, three hundred thirty-eight billion, two hundred fifty-seven million, two hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 15923 31846 47769 79615 95538 111461 159230 175153 222922 238845 334383 350306 477690 525459 557305 668766 875765 1050918 1114610 1226071 1671915 1751530 2452142 2627295 3343830 3678213 3733831 5254590 6130355 7356426 7467662 11201493 12260710 18391065 18669155 22402986 26136817 36782130 37338310 41072141 52273634 56007465 78410451 82144282 112014930 123216423 130684085 156820902 205360705 246432846 261368170 287504987 392052255 410721410 575009974 616082115 784104510 862514961 1232164230 1437524935 1725029922 2875049870 4312574805 8625149610 59453791013 118907582026 178361373039 297268955065 356722746078 416176537091 594537910130 653991701143 832353074182 891806865195 1248529611273 1307983402286 1783613730390 1961975103429 2080882685455 2497059222546 3269958505715 3923950206858 4161765370910 4577941908001 6242648056365 6539917011430 9155883816002 9809875517145 12485296112730 13733825724003 19619751034290 22889709540005 27467651448006 45779419080010 68669128620015 137338257240030