Search a number
-
+
1153432240000 = 275419758837
BaseRepresentation
bin10000110010001101111…
…010110011111110000000
311002021012200020210111121
4100302031322303332000
5122344212123140000
62241513543522024
7146222061162625
oct20621572637600
94067180223447
101153432240000
1140519347a827
12167662159314
13849ca94b531
143db7d99834c
152000b81ab1a
hex10c8deb3f80

1153432240000 has 160 divisors (see below), whose sum is σ = 3022527637800. Its totient is φ = 437089536000.

The previous prime is 1153432239931. The next prime is 1153432240043. The reversal of 1153432240000 is 422343511.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1140582 + ... + 1899418.

Almost surely, 21153432240000 is an apocalyptic number.

1153432240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153432240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511263818900).

1153432240000 is an abundant number, since it is smaller than the sum of its proper divisors (1869095397800).

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

1153432240000 is an frugal number, since it uses more digits than its factorization.

1153432240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758890 (or 758863 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1153432240000 its reverse (422343511), we get a palindrome (1153854583511).

The spelling of 1153432240000 in words is "one trillion, one hundred fifty-three billion, four hundred thirty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 304 320 380 400 475 500 608 625 640 760 800 950 1000 1216 1250 1520 1600 1900 2000 2375 2432 2500 3040 3200 3800 4000 4750 5000 6080 7600 8000 9500 10000 11875 12160 15200 16000 19000 20000 23750 30400 38000 40000 47500 60800 76000 80000 95000 152000 190000 304000 380000 758837 760000 1517674 1520000 3035348 3794185 6070696 7588370 12141392 14417903 15176740 18970925 24282784 28835806 30353480 37941850 48565568 57671612 60706960 72089515 75883700 94854625 97131136 115343224 121413920 144179030 151767400 189709250 230686448 242827840 288358060 303534800 360447575 379418500 461372896 474273125 485655680 576716120 607069600 720895150 758837000 922745792 948546250 1153432240 1214139200 1441790300 1517674000 1802237875 1845491584 1897092500 2306864480 2428278400 2883580600 3035348000 3604475750 3794185000 4613728960 5767161200 6070696000 7208951500 7588370000 9011189375 9227457920 11534322400 12141392000 14417903000 15176740000 18022378750 23068644800 28835806000 30353480000 36044757500 46137289600 57671612000 60706960000 72089515000 115343224000 144179030000 230686448000 288358060000 576716120000 1153432240000