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137443115007 = 33112389331683
BaseRepresentation
bin1000000000000000111…
…1110111111111111111
3111010202122110122221000
42000000033313333333
54222440414140012
6143050202541343
712633653126052
oct2000017677777
9433678418830
10137443115007
1153320067650
1222779507853
13cc64c366b3
14691bc10a99
15389650addc
hex20003f7fff

137443115007 has 128 divisors (see below), whose sum is σ = 235444838400. Its totient is φ = 78428908800.

The previous prime is 137443114999. The next prime is 137443115009. The reversal of 137443115007 is 700511344731.

It is a happy number.

137443115007 is a `hidden beast` number, since 1 + 3 + 74 + 431 + 150 + 0 + 7 = 666.

It is not a de Polignac number, because 137443115007 - 23 = 137443114999 is a prime.

It is a super-2 number, since 2×1374431150072 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137443115009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 201234088 + ... + 201234770.

It is an arithmetic number, because the mean of its divisors is an integer number (1839412800).

Almost surely, 2137443115007 is an apocalyptic number.

137443115007 is a deficient number, since it is larger than the sum of its proper divisors (98001723393).

137443115007 is a wasteful number, since it uses less digits than its factorization.

137443115007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 137443115007 its reverse (700511344731), we get a palindrome (837954459738).

It can be divided in two parts, 13744 and 3115007, that added together give a triangular number (3128751 = T2501).

The spelling of 137443115007 in words is "one hundred thirty-seven billion, four hundred forty-three million, one hundred fifteen thousand, seven".

Divisors: 1 3 9 11 23 27 33 69 89 99 207 253 267 297 331 621 683 759 801 979 993 2047 2049 2277 2403 2937 2979 3641 6141 6147 6831 7513 7613 8811 8937 10923 15709 18423 18441 22517 22539 22839 26433 29459 32769 47127 55269 60787 67551 67617 68517 83743 88377 98307 141381 172799 182361 202653 202851 205551 226073 251229 265131 324049 424143 518397 547083 607959 668657 677557 678219 753687 795393 972147 1398101 1555191 1641249 2005971 2032671 2034657 2261061 2486803 2916441 4194303 4665573 5199679 6017913 6098013 6103971 7453127 7460409 8749323 12582909 15379111 15599037 18053739 18294039 20120497 22359381 22381227 37748727 46137333 46797111 57196469 60361491 67078143 67143681 138411999 140391333 171589407 181084473 201234429 221325467 415235997 462771431 514768221 543253419 663976401 1388314293 1544304663 1991929203 4164942879 5090485741 5975787609 12494828637 15271457223 45814371669 137443115007