Search a number
-
+
1012989469140 = 2232511618387063
BaseRepresentation
bin11101011110110101110…
…00001010000111010100
310120211200222101211022200
432233122320022013110
5113044100301003030
62053205543524500
7133120552263315
oct16573270120724
93524628354280
101012989469140
11360674168360
121443a8159730
13746a842115c
143705963060c
151b53bcd7d60
hexebdae0a1d4

1012989469140 has 144 divisors (see below), whose sum is σ = 3407026686336. Its totient is φ = 241547385600.

The previous prime is 1012989469073. The next prime is 1012989469147. The reversal of 1012989469140 is 419649892101.

1012989469140 is a `hidden beast` number, since 10 + 1 + 29 + 8 + 9 + 469 + 140 = 666.

It is a super-2 number, since 2×10129894691402 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012989469147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4072752 + ... + 4314311.

It is an arithmetic number, because the mean of its divisors is an integer number (23659907544).

Almost surely, 21012989469140 is an apocalyptic number.

1012989469140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012989469140 is an abundant number, since it is smaller than the sum of its proper divisors (2394037217196).

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

1012989469140 is a wasteful number, since it uses less digits than its factorization.

1012989469140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8387150 (or 8387145 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1012989469140 in words is "one trillion, twelve billion, nine hundred eighty-nine million, four hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 305 330 366 396 495 549 610 660 671 732 915 990 1098 1220 1342 1830 1980 2013 2196 2684 2745 3355 3660 4026 5490 6039 6710 8052 10065 10980 12078 13420 20130 24156 30195 40260 60390 120780 8387063 16774126 25161189 33548252 41935315 50322378 75483567 83870630 92257693 100644756 125805945 150967134 167741260 184515386 251611890 276773079 301934268 369030772 377417835 461288465 503223780 511610843 553546158 754835670 830319237 922576930 1023221686 1107092316 1383865395 1509671340 1534832529 1660638474 1845153860 2046443372 2558054215 2767730790 3069665058 3321276948 4151596185 4604497587 5116108430 5535461580 5627719273 6139330116 7674162645 8303192370 9208995174 10232216860 11255438546 15348325290 16606384740 16883157819 18417990348 22510877092 23022487935 28138596365 30696650580 33766315638 46044975870 50649473457 56277192730 67532631276 84415789095 92089951740 101298946914 112554385460 168831578190 202597893828 253247367285 337663156380 506494734570 1012989469140