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11140040101432 = 23111734015413373
BaseRepresentation
bin1010001000011011111000…
…1000100000111000111000
31110102222101112210220212211
42202012332020200320320
52430004300231221212
635405355212544504
72226561402332404
oct242067610407070
943388345726784
1011140040101432
113605512242930
1212bb020a82134
1362a6693b6ab8
142a7276242104
15144ba0b9c9a7
hexa21be220e38

11140040101432 has 128 divisors (see below), whose sum is σ = 23024604093120. Its totient is φ = 5011061760000.

The previous prime is 11140040101417. The next prime is 11140040101441. The reversal of 11140040101432 is 23410104004111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 3302708098 + ... + 3302711470.

Almost surely, 211140040101432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140040101432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512302046560).

11140040101432 is an abundant number, since it is smaller than the sum of its proper divisors (11884563991688).

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

11140040101432 is a wasteful number, since it uses less digits than its factorization.

11140040101432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 11140040101432 its reverse (23410104004111), we get a palindrome (34550144105543).

The spelling of 11140040101432 in words is "eleven trillion, one hundred forty billion, forty million, one hundred one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 173 346 401 541 692 802 1082 1384 1604 1903 2164 3208 3373 3806 4328 4411 5951 6746 7612 8822 11902 13492 15224 17644 23804 26984 35288 37103 47608 69373 74206 93593 138746 148412 187186 216941 277492 296824 374372 433882 554984 583529 748744 763103 867764 1029523 1167058 1352573 1526206 1735528 1824793 2059046 2334116 2386351 2705146 3052412 3649586 4118092 4668232 4772702 5410292 6104824 6418819 7299172 8236184 9545404 10820584 12837638 14598344 14878303 19090808 20072723 25675276 29756606 37530793 40145446 51350552 59513212 75061586 80290892 119026424 150123172 160581784 233995129 300246344 315689189 412838723 467990258 631378378 731741993 825677446 935980516 1262756756 1463483986 1651354892 1871961032 2525513512 2573946419 2926967972 3302709784 3472581079 5147892838 5853935944 6945162158 8049161923 10295785676 13890324316 16098323846 20591571352 27780648632 32196647692 64393295384 126591364789 253182729578 506365459156 1012730918312 1392505012679 2785010025358 5570020050716 11140040101432