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1141024404132 = 2233172921430103
BaseRepresentation
bin10000100110101010010…
…110101011001010100100
311001002011221201102112000
4100212222112223022210
5122143304221413012
62232102424525300
7145302435260214
oct20465226531244
94032157642460
101141024404132
113aa9a6591018
1216517a920830
13837a1160912
143d323b36244
151ea32389ddc
hex109aa5ab2a4

1141024404132 has 96 divisors (see below), whose sum is σ = 3240231724800. Its totient is φ = 345624685056.

The previous prime is 1141024404101. The next prime is 1141024404203. The reversal of 1141024404132 is 2314044201411.

1141024404132 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 0 + 244 + 0 + 413 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1141024404096 and 1141024404105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10661808 + ... + 10768295.

It is an arithmetic number, because the mean of its divisors is an integer number (33752413800).

Almost surely, 21141024404132 is an apocalyptic number.

1141024404132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1141024404132 is an abundant number, since it is smaller than the sum of its proper divisors (2099207320668).

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

1141024404132 is a wasteful number, since it uses less digits than its factorization.

1141024404132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21430162 (or 21430154 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1141024404132 its reverse (2314044201411), we get a palindrome (3455068605543).

The spelling of 1141024404132 in words is "one trillion, one hundred forty-one billion, twenty-four million, four hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 87 102 108 116 153 174 204 261 306 348 459 493 522 612 783 918 986 1044 1479 1566 1836 1972 2958 3132 4437 5916 8874 13311 17748 26622 53244 21430103 42860206 64290309 85720412 128580618 192870927 257161236 364311751 385741854 578612781 621472987 728623502 771483708 1092935253 1157225562 1242945974 1457247004 1864418961 2185870506 2314451124 2485891948 3278805759 3728837922 4371741012 5593256883 6557611518 7457675844 9836417277 10565040779 11186513766 13115223036 16779770649 19672834554 21130081558 22373027532 31695122337 33559541298 39345669108 42260163116 63390244674 67119082596 95085367011 126780489348 190170734022 285256101033 380341468044 570512202066 1141024404132