Search a number
-
+
1901432991120 = 2435131573881743
BaseRepresentation
bin11011101010110110001…
…111001110110110010000
320201202221010121222222120
4123222312033032312100
5222123113321203440
64013301203534240
7254242165516155
oct33526617166620
96652833558876
101901432991120
11673436398173
1226861608a380
1310a3c58b4990
146805bc8c22c
15346d99a2dd0
hex1bab63ced90

1901432991120 has 160 divisors (see below), whose sum is σ = 6388294789632. Its totient is φ = 465063745536.

The previous prime is 1901432991083. The next prime is 1901432991127. The reversal of 1901432991120 is 211992341091.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1901432991127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1451032 + ... + 2430711.

Almost surely, 21901432991120 is an apocalyptic number.

1901432991120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1901432991120 is an abundant number, since it is smaller than the sum of its proper divisors (4486861798512).

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

1901432991120 is a wasteful number, since it uses less digits than its factorization.

1901432991120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881929 (or 3881923 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The spelling of 1901432991120 in words is "one trillion, nine hundred one billion, four hundred thirty-two million, nine hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 157 195 208 240 260 312 314 390 471 520 624 628 780 785 942 1040 1256 1560 1570 1884 2041 2355 2512 3120 3140 3768 4082 4710 6123 6280 7536 8164 9420 10205 12246 12560 16328 18840 20410 24492 30615 32656 37680 40820 48984 61230 81640 97968 122460 163280 244920 489840 3881743 7763486 11645229 15526972 19408715 23290458 31053944 38817430 46580916 50462659 58226145 62107888 77634860 93161832 100925318 116452290 151387977 155269720 186323664 201850636 232904580 252313295 302775954 310539440 403701272 465809160 504626590 605551908 609433651 756939885 807402544 931618320 1009253180 1211103816 1218867302 1513879770 1828300953 2018506360 2422207632 2437734604 3027759540 3047168255 3656601906 4037012720 4875469208 6055519080 6094336510 7313203812 7922637463 9141504765 9750938416 12111038160 12188673020 14626407624 15845274926 18283009530 23767912389 24377346040 29252815248 31690549852 36566019060 39613187315 47535824778 48754692080 63381099704 73132038120 79226374630 95071649556 118839561945 126762199408 146264076240 158452749260 190143299112 237679123890 316905498520 380286598224 475358247780 633810997040 950716495560 1901432991120