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14133135545320 = 23511371607540217
BaseRepresentation
bin1100110110101010000010…
…0001100001001111101000
31212001010002111221101221111
43031222200201201033220
53323024130144422240
650020401155520104
72656041162665341
oct315524041411750
955033074841844
1014133135545320
114559913624390
12170311a5b9034
137b699761a82c
1436c0941450c8
1519797e17c1ea
hexcdaa08613e8

14133135545320 has 128 divisors (see below), whose sum is σ = 35650239125760. Its totient is φ = 4997300520960.

The previous prime is 14133135545311. The next prime is 14133135545329. The reversal of 14133135545320 is 2354553133141.

It is an interprime number because it is at equal distance from previous prime (14133135545311) and next prime (14133135545329).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14133135545329) 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 31 ways as a sum of consecutive naturals, for example, 25891852 + ... + 26432068.

It is an arithmetic number, because the mean of its divisors is an integer number (278517493170).

Almost surely, 214133135545320 is an apocalyptic number.

14133135545320 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 14133135545320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17825119562880).

14133135545320 is an abundant number, since it is smaller than the sum of its proper divisors (21517103580440).

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

14133135545320 is a wasteful number, since it uses less digits than its factorization.

14133135545320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541883 (or 541879 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

Adding to 14133135545320 its reverse (2354553133141), we get a palindrome (16487688678461).

The spelling of 14133135545320 in words is "fourteen trillion, one hundred thirty-three billion, one hundred thirty-five million, five hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1607 1628 2035 3214 3256 4070 6428 8035 8140 12856 16070 16280 17677 32140 35354 59459 64280 70708 88385 118918 141416 176770 237836 297295 353540 475672 540217 594590 654049 707080 1080434 1189180 1308098 2160868 2378360 2616196 2701085 3270245 4321736 5232392 5402170 5942387 6540490 10804340 11884774 13080980 19988029 21608680 23769548 26161960 29711935 39976058 47539096 59423870 79952116 99940145 118847740 159904232 199880290 219868319 237695480 399760580 439736638 799521160 868128719 879473276 1099341595 1736257438 1758946552 2198683190 3472514876 4340643595 4397366380 6945029752 8681287190 8794732760 9549415909 17362574380 19098831818 32120762603 34725148760 38197663636 47747079545 64241525206 76395327272 95494159090 128483050412 160603813015 190988318180 256966100824 321207626030 353328388633 381976636360 642415252060 706656777266 1284830504120 1413313554532 1766641943165 2826627109064 3533283886330 7066567772660 14133135545320